New results
Laura Menicacci
2023-03-29
Data description
Histogram & boxplot
Histogram (2) binwidth = 1
State mean ranking (ascending order)
| state_name | mean |
|---|---|
| Alaska | 0.2972033 |
| Mississippi | 0.9806122 |
| North Dakota | 1.0497166 |
| West Virginia | 1.2918573 |
| Montana | 1.5055556 |
| Wyoming | 1.7378685 |
| Arkansas | 2.1016440 |
| Nebraska | 2.1409297 |
| Hawaii | 2.7397392 |
| Kansas | 2.8543273 |
| South Dakota | 2.9148193 |
| Vermont | 3.0146419 |
| Alabama | 3.1196712 |
| Louisiana | 3.2756064 |
| Maine | 3.3574638 |
| Kentucky | 3.4144448 |
| District of Columbia | 3.5292517 |
| Iowa | 3.8317460 |
| Idaho | 4.0003075 |
| Rhode Island | 4.9461645 |
| Oklahoma | 5.4200680 |
| Missouri | 6.9973767 |
| Nevada | 7.1547336 |
| Utah | 7.7722789 |
| Tennessee | 8.1879266 |
| New Hampshire | 8.6113446 |
| Indiana | 9.3458676 |
| New Mexico | 9.6453326 |
| Maryland | 13.1337805 |
| Delaware | 13.7176807 |
| Oregon | 15.9256251 |
| Georgia | 16.2500732 |
| Virginia | 19.4860573 |
| Wisconsin | 19.6201003 |
| Arizona | 20.2815746 |
| South Carolina | 21.6624588 |
| Minnesota | 24.9867993 |
| Washington | 25.0263271 |
| North Carolina | 27.5902188 |
| New Jersey | 27.7174299 |
| Colorado | 29.2138427 |
| Florida | 30.6164502 |
| Illinois | 31.0055104 |
| Connecticut | 37.3971563 |
| Ohio | 39.1734239 |
| Michigan | 40.1859237 |
| Pennsylvania | 43.1576706 |
| Texas | 49.0666670 |
| Massachusetts | 61.8613416 |
| New York | 76.0182791 |
| California | 205.0177455 |
Updates
Removed gdp squared control
Removed fuel control. Current model specifications:
- patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
- log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
- ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
- patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
Tried out different thresholds for dropping patenting states using State mean of y. Rule: if mean patent count of State is less or equal the ith percentile of the distribution of mean patent counts by State, drop. The sampling thresholds used in the models are the following:
- us_q20: States whose mean of y <= 20th percentile of the mean distribution of y. States removed are Alaska, Mississippi, Montana, North Dakota, West Virginia, Wyoming (6 States).
- us_q30: States whose mean of y <= 30th percentile of the mean distribution of y. States removed are Alabama, Alaska, Arkansas, Hawaii, Kansas, Louisiana, Maine, Mississippi, Montana, Nebraska, North Dakota, South Dakota, Vermont, West Virginia, Wyoming (15 States).
- full sample (us_all) for comparison
Also considered us_q25: States whose mean y <= 25th percentile of the mean distribution of y. 8 States are included: Alaska, Mississippi, Montana, North Dakota West Virginia, Wyoming, Arkansas, Nebraska (= the 6 states included in us_q20 but + Arkansas + Nebraska). Not included this sample in the model because Arkansas and Nebraska resulted to have multiple breaks in the ihs and log specifications, and this can imply that I am potentially omitting important information for my research question.
p-values: 0.01, 0.05
AR terms: 0,1
Ran a model specification with time series: 2000-2019
Ran a model specification with silenced IIS
Distribution of y (patent counts) with removed states
AR0
p_value = 0.01 only here
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:15:24 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 0.4083008 1.0988219 0.3716 0.7102874
lpop 0.1228244 0.4683003 0.2623 0.7931644
lgdp_sq -0.0025070 0.0469877 -0.0534 0.9574611
avg_temp 0.0068327 0.0138781 0.4923 0.6225921
idAlaska 0.1539210 0.9159737 0.1680 0.8665867
idArizona 1.8382916 0.1616847 11.3696 < 2.2e-16 ***
idArkansas -0.7168372 0.2424386 -2.9568 0.0031851 **
idCalifornia 3.2209333 0.8451921 3.8109 0.0001473 ***
idColorado 2.2892983 0.2814646 8.1335 1.286e-15 ***
idConnecticut 3.0186267 0.3035117 9.9457 < 2.2e-16 ***
idDelaware 2.4677290 0.6843453 3.6060 0.0003271 ***
idDistrictofColumbia 0.7209092 0.9029629 0.7984 0.4248470
idFlorida 1.6797514 0.5509056 3.0491 0.0023586 **
idGeorgia 1.3623506 0.2966739 4.5921 4.974e-06 ***
idHawaii -0.5375363 0.6553705 -0.8202 0.4123051
idIdaho 0.9916685 0.5205387 1.9051 0.0570690 .
idIllinois 1.9602000 0.4422827 4.4320 1.042e-05 ***
idIndiana 1.1123096 0.2309947 4.8153 1.708e-06 ***
idIowa 0.5298050 0.2966688 1.7858 0.0744406 .
idKansas 0.2676003 0.2590662 1.0329 0.3018922
idKentucky 0.3155498 0.1558208 2.0251 0.0431362 *
idLouisiana 0.1647656 0.1689486 0.9752 0.3296873
idMaine 0.4117538 0.5864095 0.7022 0.4827496
idMaryland 1.4447747 0.2005713 7.2033 1.190e-12 ***
idMassachusetts 2.9174353 0.3024931 9.6446 < 2.2e-16 ***
idMichigan 2.3834103 0.4014407 5.9371 4.053e-09 ***
idMinnesota 2.1991567 0.3389058 6.4890 1.384e-10 ***
idMississippi 0.4722006 0.2609270 1.8097 0.0706553 .
idMissouri 0.8799695 0.1879656 4.6815 3.258e-06 ***
idMontana 0.3083292 0.6827426 0.4516 0.6516567
idNebraska -0.1643843 0.4368491 -0.3763 0.7067808
idNevada 1.4762358 0.3362792 4.3899 1.260e-05 ***
idNewHampshire 1.8174434 0.5737393 3.1677 0.0015851 **
idNewJersey 1.9694370 0.3208803 6.1376 1.225e-09 ***
idNewMexico 1.7177252 0.3667735 4.6833 3.230e-06 ***
idNewYork 2.6626958 0.6465340 4.1184 4.145e-05 ***
idNorthCarolina 1.9764854 0.2944006 6.7136 3.250e-11 ***
idNorthDakota 0.0750847 0.8208691 0.0915 0.9271385
idOhio 2.2808536 0.4021139 5.6722 1.867e-08 ***
idOklahoma 0.7611425 0.1541392 4.9380 9.309e-07 ***
idOregon 2.5699610 0.3076473 8.3536 2.308e-16 ***
idPennsylvania 2.2792968 0.4482964 5.0844 4.437e-07 ***
idRhodeIsland 1.9239293 0.6117648 3.1449 0.0017128 **
idSouthCarolina 1.4289628 0.1549909 9.2197 < 2.2e-16 ***
idSouthDakota -0.1192652 0.7452814 -0.1600 0.8728935
idTennessee 0.3713279 0.2262445 1.6413 0.1010704
idTexas 1.9897210 0.6710861 2.9649 0.0031027 **
idUtah 1.2440041 0.3112346 3.9970 6.908e-05 ***
idVermont 1.0331895 0.8500050 1.2155 0.2244714
idVirginia 1.6074055 0.2678702 6.0007 2.785e-09 ***
idWashington 2.0257263 0.3097028 6.5409 9.944e-11 ***
idWestVirginia 0.0530469 0.4050056 0.1310 0.8958200
idWisconsin 1.9586318 0.3080220 6.3587 3.145e-10 ***
idWyoming 1.3722310 0.9389396 1.4615 0.1442151
time2000 -5.0285864 7.6219351 -0.6598 0.5095718
time2001 -4.9954705 7.6254015 -0.6551 0.5125549
time2002 -4.8482729 7.6269593 -0.6357 0.5251398
time2003 -4.7417790 7.6255011 -0.6218 0.5342006
time2004 -4.7608741 7.6272121 -0.6242 0.5326477
time2005 -4.5013649 7.6296969 -0.5900 0.5553437
time2006 -4.3788968 7.6336994 -0.5736 0.5663550
time2007 -4.1804410 7.6326410 -0.5477 0.5840217
time2008 -4.1300235 7.6306223 -0.5412 0.5884658
time2009 -3.8883662 7.6334463 -0.5094 0.6105995
time2010 -3.9579112 7.6369185 -0.5183 0.6043965
time2011 -3.9668617 7.6381702 -0.5193 0.6036388
time2012 -4.0186183 7.6430250 -0.5258 0.5991566
time2013 -4.0807389 7.6362487 -0.5344 0.5931955
time2014 -4.3547357 7.6353652 -0.5703 0.5685826
time2015 -4.3362478 7.6404379 -0.5675 0.5704810
time2016 -4.4248847 7.6428718 -0.5790 0.5627553
time2017 -4.4929644 7.6414055 -0.5880 0.5566870
time2018 -4.4565210 7.6386649 -0.5834 0.5597506
time2019 -4.6152741 7.6369112 -0.6043 0.5457623
time2020 -5.5564505 7.6437372 -0.7269 0.4674475
iis65 1.9123133 0.3908942 4.8922 1.170e-06 ***
iis76 1.1768405 0.3849653 3.0570 0.0022977 **
iis168 -1.2116125 0.3984430 -3.0409 0.0024232 **
iis173 -1.2857973 0.3940167 -3.2633 0.0011402 **
iis247 -1.4694958 0.3883394 -3.7841 0.0001639 ***
iis249 -1.3236139 0.3885699 -3.4064 0.0006857 ***
iis250 -1.6153426 0.3886732 -4.1560 3.528e-05 ***
iis364 -1.4553471 0.3777448 -3.8527 0.0001246 ***
iis525 1.5290323 0.3807494 4.0158 6.387e-05 ***
iis527 -1.3793819 0.3781501 -3.6477 0.0002789 ***
iis576 -1.0505561 0.3851600 -2.7276 0.0064968 **
iis721 1.1903262 0.3830399 3.1076 0.0019419 **
iis866 1.7434342 0.3939148 4.4259 1.071e-05 ***
fesisAlaska.2007 -1.2192158 0.2010459 -6.0644 1.905e-09 ***
fesisAlaska.2014 0.7904637 0.2040454 3.8740 0.0001144 ***
fesisArkansas.2009 0.6482180 0.1723901 3.7602 0.0001801 ***
fesisConnecticut.2009 -0.5982914 0.1656534 -3.6117 0.0003200 ***
fesisDelaware.2014 -0.8178532 0.1849953 -4.4209 1.095e-05 ***
fesisDistrictofColumbia.2008 -1.2154298 0.2553178 -4.7605 2.230e-06 ***
fesisDistrictofColumbia.2011 1.4669191 0.2464042 5.9533 3.685e-09 ***
fesisHawaii.2001 1.3728067 0.3909467 3.5115 0.0004664 ***
fesisHawaii.2009 -0.4830059 0.1802577 -2.6795 0.0074991 **
fesisLouisiana.2011 -0.8326289 0.2163531 -3.8485 0.0001267 ***
fesisLouisiana.2015 1.0753087 0.2390419 4.4984 7.687e-06 ***
fesisMaine.2008 0.6999229 0.1688994 4.1440 3.715e-05 ***
fesisMississippi.2004 -1.3986445 0.2076588 -6.7353 2.819e-11 ***
fesisNebraska.2012 0.7383887 0.1675422 4.4072 1.166e-05 ***
fesisNevada.2012 -0.7433067 0.1854884 -4.0073 6.619e-05 ***
fesisNevada.2019 1.0401965 0.2964697 3.5086 0.0004714 ***
fesisOregon.2004 -0.7595870 0.2055449 -3.6955 0.0002319 ***
fesisRhodeIsland.2005 -0.8176507 0.1931060 -4.2342 2.515e-05 ***
fesisSouthCarolina.2008 0.8138095 0.1688143 4.8207 1.663e-06 ***
fesisSouthDakota.2008 1.2229023 0.1839370 6.6485 4.969e-11 ***
fesisSouthDakota.2019 -1.2583965 0.2845261 -4.4228 1.086e-05 ***
fesisTennessee.2005 0.6105224 0.1895153 3.2215 0.0013183 **
fesisWestVirginia.2013 -0.5877609 0.1692226 -3.4733 0.0005371 ***
fesisWyoming.2003 -0.8272521 0.2389653 -3.4618 0.0005603 ***
fesisWyoming.2017 -0.9102405 0.2377471 -3.8286 0.0001372 ***
fesisWyoming.2020 1.9366798 0.4256536 4.5499 6.057e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 3.1879 1 0.07419 .
Ljung-Box ARCH(1) 3.5869 1 0.05824 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36470
R-squared 0.94193
Log-lik.(n=1071) -382.39447 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:13:43 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 2.190143 1.540560 1.4217 0.1554988
lpop 0.310336 0.468498 0.6624 0.5078933
lgdp_sq -0.069340 0.058361 -1.1881 0.2351177
avg_temp 0.021949 0.014258 1.5395 0.1240663
idArizona 1.710079 0.159635 10.7124 < 2.2e-16 ***
idArkansas -0.490227 0.273937 -1.7896 0.0738860 .
idCalifornia 2.847941 0.818476 3.4796 0.0005281 ***
idColorado 2.424730 0.291039 8.3313 3.249e-16 ***
idConnecticut 3.185928 0.311164 10.2388 < 2.2e-16 ***
idDelaware 3.104791 0.668886 4.6417 4.009e-06 ***
idDistrictofColumbia 1.298101 0.877943 1.4786 0.1396308
idFlorida 1.150423 0.539912 2.1308 0.0333994 *
idGeorgia 1.070143 0.298591 3.5840 0.0003579 ***
idHawaii -0.288396 0.641083 -0.4499 0.6529292
idIdaho 1.711715 0.542500 3.1552 0.0016610 **
idIllinois 1.784309 0.443013 4.0277 6.145e-05 ***
idIndiana 1.101539 0.234619 4.6950 3.114e-06 ***
idIowa 0.818070 0.294399 2.7788 0.0055785 **
idKansas 0.486406 0.252419 1.9270 0.0543200 .
idKentucky 0.390518 0.151695 2.5744 0.0102130 *
idLouisiana 0.028926 0.172335 0.1678 0.8667424
idMaine 1.428462 0.601066 2.3765 0.0176993 *
idMaryland 1.402995 0.212192 6.6119 6.751e-11 ***
idMassachusetts 2.930502 0.319697 9.1665 < 2.2e-16 ***
idMichigan 2.370947 0.402129 5.8960 5.397e-09 ***
idMinnesota 2.388006 0.349677 6.8292 1.640e-11 ***
idMissouri 0.852091 0.189443 4.4979 7.831e-06 ***
idNebraska 0.842900 0.478654 1.7610 0.0786067 .
idNevada 1.805913 0.329085 5.4877 5.397e-08 ***
idNewHampshire 2.522298 0.574376 4.3914 1.271e-05 ***
idNewJersey 1.848160 0.331553 5.5742 3.353e-08 ***
idNewMexico 2.118330 0.369206 5.7375 1.342e-08 ***
idNewYork 2.540762 0.638946 3.9765 7.598e-05 ***
idNorthCarolina 1.759387 0.294846 5.9672 3.560e-09 ***
idOhio 2.136975 0.401010 5.3290 1.270e-07 ***
idOklahoma 0.816441 0.147023 5.5532 3.767e-08 ***
idOregon 2.835370 0.301061 9.4179 < 2.2e-16 ***
idPennsylvania 2.150963 0.447011 4.8119 1.773e-06 ***
idRhodeIsland 2.671233 0.620445 4.3054 1.864e-05 ***
idSouthCarolina 1.411068 0.143808 9.8121 < 2.2e-16 ***
idSouthDakota 0.883548 0.773143 1.1428 0.2534476
idTennessee 0.295466 0.219492 1.3461 0.1786231
idTexas 1.528768 0.654744 2.3349 0.0197834 *
idUtah 1.734123 0.319179 5.4331 7.264e-08 ***
idVermont 2.209978 0.889632 2.4841 0.0131805 *
idVirginia 1.476210 0.276667 5.3357 1.226e-07 ***
idWashington 2.066607 0.322337 6.4113 2.407e-10 ***
idWisconsin 2.111343 0.314584 6.7115 3.546e-11 ***
time2000 -19.274078 10.253217 -1.8798 0.0604810 .
time2001 -19.245471 10.256465 -1.8764 0.0609445 .
time2002 -19.077216 10.260186 -1.8593 0.0633287 .
time2003 -19.014831 10.262932 -1.8528 0.0642670 .
time2004 -18.999702 10.269202 -1.8502 0.0646418 .
time2005 -18.760781 10.273576 -1.8261 0.0681879 .
time2006 -18.685365 10.278707 -1.8179 0.0694408 .
time2007 -18.458171 10.279087 -1.7957 0.0729022 .
time2008 -18.382020 10.276512 -1.7887 0.0740176 .
time2009 -18.175820 10.273752 -1.7692 0.0772323 .
time2010 -18.235464 10.279378 -1.7740 0.0764287 .
time2011 -18.270148 10.281034 -1.7771 0.0759189 .
time2012 -18.295730 10.286259 -1.7787 0.0756584 .
time2013 -18.335414 10.280621 -1.7835 0.0748679 .
time2014 -18.633479 10.282506 -1.8122 0.0703203 .
time2015 -18.618794 10.289022 -1.8096 0.0707193 .
time2016 -18.675570 10.291651 -1.8146 0.0699377 .
time2017 -18.719461 10.291842 -1.8189 0.0692890 .
time2018 -18.714110 10.292319 -1.8183 0.0693813 .
time2019 -18.884491 10.293510 -1.8346 0.0669191 .
time2020 -19.918472 10.294789 -1.9348 0.0533497 .
iis18 -1.256111 0.347936 -3.6102 0.0003242 ***
iis44 1.900916 0.379450 5.0097 6.651e-07 ***
iis147 -1.130725 0.366943 -3.0815 0.0021271 **
iis152 -1.316806 0.362998 -3.6276 0.0003034 ***
iis226 -1.572747 0.352220 -4.4652 9.093e-06 ***
iis228 -1.486776 0.352761 -4.2147 2.773e-05 ***
iis229 -1.759183 0.352819 -4.9861 7.490e-07 ***
iis343 -1.418975 0.347811 -4.0797 4.939e-05 ***
iis383 -1.036837 0.356548 -2.9080 0.0037337 **
iis485 -1.383377 0.348412 -3.9705 7.787e-05 ***
iis513 -1.591632 0.352325 -4.5175 7.155e-06 ***
iis515 -1.424182 0.351358 -4.0534 5.519e-05 ***
iis782 1.714476 0.362873 4.7247 2.701e-06 ***
fesisArkansas.2005 1.336427 0.379768 3.5191 0.0004564 ***
fesisArkansas.2006 -1.871867 0.391860 -4.7769 2.101e-06 ***
fesisArkansas.2009 1.578204 0.240050 6.5745 8.580e-11 ***
fesisArkansas.2015 -0.704021 0.196405 -3.5845 0.0003572 ***
fesisConnecticut.2009 -0.605881 0.153185 -3.9552 8.293e-05 ***
fesisDelaware.2014 -0.869922 0.171632 -5.0685 4.935e-07 ***
fesisDistrictofColumbia.2008 -1.246855 0.236358 -5.2753 1.689e-07 ***
fesisDistrictofColumbia.2011 1.412940 0.227634 6.2071 8.482e-10 ***
fesisHawaii.2001 1.600117 0.379346 4.2181 2.732e-05 ***
fesisHawaii.2005 -0.708194 0.197398 -3.5876 0.0003530 ***
fesisLouisiana.2011 -0.825540 0.199565 -4.1367 3.879e-05 ***
fesisLouisiana.2015 1.051545 0.220896 4.7604 2.276e-06 ***
fesisMaine.2011 0.566914 0.154807 3.6621 0.0002659 ***
fesisNebraska.2002 -1.058781 0.309917 -3.4163 0.0006652 ***
fesisNebraska.2005 1.078515 0.220469 4.8919 1.197e-06 ***
fesisNevada.2012 -0.818805 0.172654 -4.7425 2.481e-06 ***
fesisNevada.2019 1.075735 0.273235 3.9370 8.935e-05 ***
fesisOregon.2004 -0.803231 0.190706 -4.2119 2.807e-05 ***
fesisRhodeIsland.2005 -0.835745 0.178445 -4.6835 3.289e-06 ***
fesisSouthCarolina.2008 0.768714 0.155673 4.9380 9.527e-07 ***
fesisSouthDakota.2008 1.714459 0.241779 7.0910 2.830e-12 ***
fesisSouthDakota.2011 -0.803501 0.232417 -3.4571 0.0005734 ***
fesisSouthDakota.2019 -1.014162 0.269681 -3.7606 0.0001813 ***
fesisTennessee.2005 0.589572 0.174499 3.3787 0.0007620 ***
fesisUtah.2016 -0.658158 0.184705 -3.5633 0.0003869 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 3.2068 1 0.0733350 .
Ljung-Box ARCH(1) 13.6073 1 0.0002253 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.33535
R-squared 0.94116
Log-lik.(n=945) -254.90748 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:17:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.6410970 1.4268861 -1.8510 0.0646145 .
lpop 1.3028495 0.4310143 3.0228 0.0026000 **
lgdp_sq 0.0933079 0.0529882 1.7609 0.0787062 .
avg_temp 0.0022660 0.0131517 0.1723 0.8632585
idCalifornia 0.2190574 0.6249756 0.3505 0.7260690
idColorado 0.6711936 0.2310308 2.9052 0.0037905 **
idConnecticut 1.7158377 0.2816772 6.0915 1.881e-09 ***
idDelaware 1.7516586 0.6368955 2.7503 0.0061139 **
idDistrictofColumbia 1.0495762 0.8231133 1.2751 0.2027034
idFlorida -0.8033840 0.3827111 -2.0992 0.0361719 *
idGeorgia -0.6320293 0.1660858 -3.8054 0.0001545 ***
idIdaho -0.4265915 0.5135354 -0.8307 0.4064403
idIllinois -0.2005454 0.2830830 -0.7084 0.4789215
idIndiana -0.7229595 0.1456230 -4.9646 8.734e-07 ***
idIowa -1.6419574 0.3342530 -4.9123 1.131e-06 ***
idKentucky -1.3409866 0.1621303 -8.2710 7.104e-16 ***
idMaryland -0.2065144 0.1369850 -1.5076 0.1321339
idMassachusetts 1.2466173 0.2167117 5.7524 1.336e-08 ***
idMichigan 0.2279319 0.2737276 0.8327 0.4053115
idMinnesota 0.5319560 0.2789901 1.9067 0.0569824 .
idMissouri -0.9083697 0.1180530 -7.6946 5.066e-14 ***
idNevada 0.2392908 0.3373506 0.7093 0.4783693
idNewHampshire 0.6629704 0.5446176 1.2173 0.2239116
idNewJersey 0.0950070 0.1943605 0.4888 0.6251296
idNewMexico 0.3223873 0.3798432 0.8487 0.3963290
idNewYork 0.2129634 0.4602762 0.4627 0.6437389
idNorthCarolina -0.0432690 0.1572606 -0.2751 0.7832914
idOhio 0.1052713 0.2519295 0.4179 0.6761827
idOklahoma -0.8099266 0.1850473 -4.3769 1.395e-05 ***
idOregon 0.8732322 0.2775528 3.1462 0.0017271 **
idPennsylvania 0.0546231 0.2929135 0.1865 0.8521230
idRhodeIsland 0.6836387 0.5801082 1.1785 0.2390268
idSouthCarolina -0.2913295 0.1626204 -1.7915 0.0736672 .
idTennessee -0.8788852 0.0948258 -9.2684 < 2.2e-16 ***
idTexas -0.6524121 0.4754400 -1.3722 0.1704496
idUtah -0.1650285 0.3145410 -0.5247 0.5999893
idVirginia -0.1899757 0.1498248 -1.2680 0.2052414
idWashington 0.2762757 0.2207269 1.2517 0.2111274
idWisconsin 0.0070037 0.2434957 0.0288 0.9770620
time2000 9.9153282 8.9746380 1.1048 0.2696339
time2001 10.0268671 8.9783523 1.1168 0.2644859
time2002 10.1615369 8.9784237 1.1318 0.2581330
time2003 10.1472013 8.9798393 1.1300 0.2588796
time2004 10.2194733 8.9851918 1.1374 0.2557891
time2005 10.4245307 8.9891241 1.1597 0.2465893
time2006 10.6220203 8.9933506 1.1811 0.2379814
time2007 10.7130860 8.9932352 1.1912 0.2339800
time2008 10.8169718 8.9903303 1.2032 0.2293303
time2009 10.9752585 8.9869541 1.2212 0.2224215
time2010 11.0053004 8.9909028 1.2240 0.2213623
time2011 10.9656474 8.9927992 1.2194 0.2231268
time2012 10.9192339 8.9974850 1.2136 0.2253311
time2013 10.8778165 8.9919029 1.2097 0.2268055
time2014 10.5430198 8.9936652 1.1723 0.2415028
time2015 10.6141586 8.9996423 1.1794 0.2386566
time2016 10.4762217 9.0022961 1.1637 0.2449468
time2017 10.4665254 9.0025022 1.1626 0.2453942
time2018 10.5242466 9.0026044 1.1690 0.2428085
time2019 10.3588320 9.0026476 1.1506 0.2502879
time2020 9.2642658 9.0041124 1.0289 0.3038997
iis105 -1.1450305 0.3026471 -3.7834 0.0001685 ***
iis110 -1.4349009 0.2884543 -4.9744 8.317e-07 ***
iis114 -1.8779541 0.2898113 -6.4799 1.774e-10 ***
iis115 -0.9347899 0.2895144 -3.2288 0.0013034 **
iis116 -1.0119780 0.2894518 -3.4962 0.0005030 ***
iis170 -1.2130258 0.2913691 -4.1632 3.546e-05 ***
iis254 -1.0860643 0.2877238 -3.7747 0.0001744 ***
iis259 -1.5383352 0.2870719 -5.3587 1.153e-07 ***
iis359 -1.4706350 0.2875217 -5.1149 4.099e-07 ***
iis397 -0.9236157 0.2970766 -3.1090 0.0019563 **
iis631 -1.1183776 0.2869954 -3.8968 0.0001072 ***
iis634 -1.1701208 0.2870563 -4.0763 5.123e-05 ***
iis692 -1.0311390 0.2910167 -3.5432 0.0004226 ***
iis695 -1.1198474 0.2872357 -3.8987 0.0001064 ***
fesisConnecticut.2009 -0.5713880 0.1265220 -4.5161 7.437e-06 ***
fesisDelaware.2014 -0.8793058 0.1420493 -6.1901 1.045e-09 ***
fesisIowa.2002 0.8006599 0.2129636 3.7596 0.0001850 ***
fesisNevada.2010 -0.7339330 0.1435302 -5.1134 4.129e-07 ***
fesisNevada.2019 0.8583766 0.2223145 3.8611 0.0001238 ***
fesisOregon.2004 -0.6637962 0.1577950 -4.2067 2.942e-05 ***
fesisRhodeIsland.2005 -0.6819594 0.1488021 -4.5830 5.464e-06 ***
fesisSouthCarolina.2008 0.7864557 0.1280713 6.1408 1.404e-09 ***
fesisWisconsin.2014 0.5016545 0.1311996 3.8236 0.0001437 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.89818 1 0.34327
Ljung-Box ARCH(1) 4.00717 1 0.04531 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.27566
R-squared 0.94499
Log-lik.(n=756) -57.04732 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:03:23 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.817466 0.916508 -0.8919 0.3726508
lpop 0.592368 0.388921 1.5231 0.1280624
lgdp_sq 0.036635 0.039306 0.9321 0.3515444
avg_temp 0.006058 0.011610 0.5218 0.6019276
idAlaska 0.798679 0.763814 1.0456 0.2959879
idArizona 1.524666 0.133936 11.3836 < 2.2e-16 ***
idArkansas -0.139757 0.219129 -0.6378 0.5237677
idCalifornia 2.361599 0.694375 3.4010 0.0006990 ***
idColorado 2.062720 0.234045 8.8133 < 2.2e-16 ***
idConnecticut 2.878557 0.253175 11.3698 < 2.2e-16 ***
idDelaware 2.631399 0.567312 4.6384 3.999e-06 ***
idDistrictofColumbia 1.355751 0.749103 1.8098 0.0706348 .
idFlorida 1.063133 0.454870 2.3372 0.0196326 *
idGeorgia 0.988608 0.244654 4.0408 5.752e-05 ***
idHawaii 0.015172 0.543700 0.0279 0.9777433
idIdaho 1.060506 0.433948 2.4439 0.0147106 *
idIllinois 1.488725 0.362779 4.1037 4.412e-05 ***
idIndiana 0.864819 0.190924 4.5297 6.652e-06 ***
idIowa 0.596918 0.248050 2.4064 0.0162971 *
idKansas 0.397059 0.215896 1.8391 0.0662066 .
idKentucky 0.282119 0.130557 2.1609 0.0309514 *
idLouisiana 0.181210 0.141777 1.2781 0.2015117
idMaine 0.744443 0.485302 1.5340 0.1253646
idMaryland 1.230881 0.165944 7.4175 2.625e-13 ***
idMassachusetts 2.635285 0.249577 10.5590 < 2.2e-16 ***
idMichigan 1.926946 0.330468 5.8310 7.526e-09 ***
idMinnesota 1.960427 0.281745 6.9581 6.381e-12 ***
idMississippi 0.492238 0.217292 2.2653 0.0237150 *
idMissouri 0.674890 0.155726 4.3338 1.620e-05 ***
idMontana 0.643790 0.568110 1.1332 0.2574080
idNebraska 0.201845 0.363835 0.5548 0.5791810
idNevada 1.446246 0.280576 5.1546 3.087e-07 ***
idNewHampshire 1.872789 0.477645 3.9209 9.450e-05 ***
idNewJersey 1.621387 0.263570 6.1516 1.125e-09 ***
idNewMexico 1.651686 0.304680 5.4211 7.499e-08 ***
idNewYork 2.053170 0.530112 3.8731 0.0001148 ***
idNorthCarolina 1.567299 0.242124 6.4731 1.530e-10 ***
idNorthDakota 0.675553 0.682429 0.9899 0.3224605
idOhio 1.802917 0.330048 5.4626 5.980e-08 ***
idOklahoma 0.696108 0.128692 5.4091 8.000e-08 ***
idOregon 2.297475 0.257666 8.9165 < 2.2e-16 ***
idPennsylvania 1.782709 0.367827 4.8466 1.464e-06 ***
idRhodeIsland 1.956519 0.508566 3.8471 0.0001274 ***
idSouthCarolina 1.208152 0.129862 9.3033 < 2.2e-16 ***
idSouthDakota 0.394956 0.619456 0.6376 0.5238962
idTennessee 0.279847 0.187880 1.4895 0.1366842
idTexas 1.291944 0.552366 2.3389 0.0195437 *
idUtah 1.207885 0.260039 4.6450 3.874e-06 ***
idVermont 1.305268 0.706274 1.8481 0.0648950 .
idVirginia 1.296835 0.220248 5.8881 5.400e-09 ***
idWashington 1.743429 0.255663 6.8192 1.618e-11 ***
idWestVirginia 0.115669 0.340103 0.3401 0.7338560
idWisconsin 1.683460 0.256051 6.5747 7.996e-11 ***
idWyoming 1.739556 0.780828 2.2278 0.0261229 *
time2000 -0.133738 6.373409 -0.0210 0.9832630
time2001 -0.096525 6.376299 -0.0151 0.9879251
time2002 0.021755 6.377580 0.0034 0.9972790
time2003 0.108516 6.376266 0.0170 0.9864252
time2004 0.088659 6.377617 0.0139 0.9889114
time2005 0.328622 6.379626 0.0515 0.9589289
time2006 0.473152 6.382354 0.0741 0.9409189
time2007 0.622041 6.381920 0.0975 0.9223741
time2008 0.685663 6.380195 0.1075 0.9144407
time2009 0.875599 6.382733 0.1372 0.8909153
time2010 0.825243 6.385640 0.1292 0.8971994
time2011 0.804861 6.386677 0.1260 0.8997410
time2012 0.758061 6.390784 0.1186 0.9056029
time2013 0.693877 6.384909 0.1087 0.9134834
time2014 0.452983 6.384073 0.0710 0.9434483
time2015 0.465581 6.388305 0.0729 0.9419167
time2016 0.372971 6.390269 0.0584 0.9534697
time2017 0.328957 6.389071 0.0515 0.9589478
time2018 0.374926 6.386464 0.0587 0.9531983
time2019 0.217162 6.385045 0.0340 0.9728754
time2020 -0.624706 6.390995 -0.0977 0.9221530
iis65 1.211273 0.338253 3.5810 0.0003595 ***
iis76 0.923899 0.322577 2.8641 0.0042728 **
iis247 -0.877696 0.333512 -2.6317 0.0086329 **
iis249 -1.373239 0.356742 -3.8494 0.0001263 ***
iis250 -1.644841 0.356706 -4.6112 4.545e-06 ***
iis364 -1.125362 0.316476 -3.5559 0.0003951 ***
iis525 1.352912 0.318951 4.2417 2.433e-05 ***
iis527 -1.018840 0.316841 -3.2156 0.0013451 **
iis576 -0.835056 0.322748 -2.5873 0.0098184 **
iis866 1.360881 0.330010 4.1238 4.050e-05 ***
fesisAlaska.2007 -1.002223 0.168370 -5.9525 3.701e-09 ***
fesisAlaska.2014 0.691221 0.170848 4.0458 5.633e-05 ***
fesisArkansas.2006 -0.695042 0.225587 -3.0810 0.0021216 **
fesisArkansas.2009 0.898267 0.201519 4.4575 9.272e-06 ***
fesisConnecticut.2009 -0.546309 0.138615 -3.9412 8.696e-05 ***
fesisDelaware.2014 -0.887511 0.148038 -5.9951 2.876e-09 ***
fesisDistrictofColumbia.2008 -0.889044 0.209797 -4.2376 2.477e-05 ***
fesisDistrictofColumbia.2011 1.182208 0.206499 5.7250 1.383e-08 ***
fesisHawaii.2001 1.009582 0.327597 3.0818 0.0021164 **
fesisHawaii.2009 -0.607187 0.167336 -3.6286 0.0003001 ***
fesisHawaii.2016 0.633657 0.218852 2.8954 0.0038730 **
fesisLouisiana.2011 -0.694478 0.181268 -3.8312 0.0001358 ***
fesisLouisiana.2015 0.904990 0.200305 4.5180 7.019e-06 ***
fesisMaine.2011 0.539693 0.137387 3.9283 9.170e-05 ***
fesisMississippi.2004 -1.128150 0.173898 -6.4874 1.397e-10 ***
fesisNebraska.2012 0.600900 0.140305 4.2828 2.031e-05 ***
fesisNevada.2012 -0.690039 0.155438 -4.4393 1.007e-05 ***
fesisNevada.2019 0.902304 0.248387 3.6327 0.0002954 ***
fesisOregon.2004 -0.669301 0.172233 -3.8860 0.0001089 ***
fesisRhodeIsland.2005 -0.666868 0.161559 -4.1277 3.983e-05 ***
fesisSouthCarolina.2008 0.756364 0.141445 5.3474 1.116e-07 ***
fesisSouthDakota.2008 0.986700 0.156535 6.3034 4.435e-10 ***
fesisSouthDakota.2018 -0.767436 0.204875 -3.7459 0.0001905 ***
fesisTennessee.2005 0.467434 0.158796 2.9436 0.0033223 **
fesisWyoming.2003 -0.676889 0.200195 -3.3811 0.0007510 ***
fesisWyoming.2017 -0.676036 0.199279 -3.3924 0.0007211 ***
fesisWyoming.2020 1.604244 0.356598 4.4987 7.673e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.91273 1 0.3394
Ljung-Box ARCH(1) 0.80321 1 0.3701
SE of regression 0.30560
R-squared 0.94623
Log-lik.(n=1071) -194.03742 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:01:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.549086 1.304662 -0.4209 0.6739618
lpop 0.736337 0.401264 1.8350 0.0668532 .
lgdp_sq 0.024758 0.049468 0.5005 0.6168609
avg_temp 0.018556 0.012204 1.5205 0.1287683
idArizona 1.522388 0.135637 11.2240 < 2.2e-16 ***
idArkansas -0.042304 0.223038 -0.1897 0.8496123
idCalifornia 2.240066 0.699740 3.2013 0.0014197 **
idColorado 2.280445 0.248239 9.1865 < 2.2e-16 ***
idConnecticut 3.101616 0.265829 11.6677 < 2.2e-16 ***
idDelaware 2.958790 0.572169 5.1712 2.910e-07 ***
idDistrictofColumbia 1.855322 0.751906 2.4675 0.0138050 *
idFlorida 0.821452 0.462679 1.7754 0.0761901 .
idGeorgia 0.907508 0.255131 3.5570 0.0003961 ***
idHawaii 0.023116 0.546272 0.0423 0.9662564
idIdaho 1.460923 0.464271 3.1467 0.0017095 **
idIllinois 1.531373 0.377688 4.0546 5.490e-05 ***
idIndiana 0.973118 0.199613 4.8750 1.301e-06 ***
idIowa 0.847577 0.252103 3.3620 0.0008087 ***
idKansas 0.521063 0.215615 2.4166 0.0158770 *
idKentucky 0.382780 0.129009 2.9671 0.0030919 **
idLouisiana 0.149554 0.146764 1.0190 0.3084925
idMaine 1.193236 0.513897 2.3219 0.0204748 *
idMaryland 1.318505 0.180483 7.3054 6.433e-13 ***
idMassachusetts 2.796751 0.272195 10.2748 < 2.2e-16 ***
idMichigan 2.074537 0.342520 6.0567 2.095e-09 ***
idMinnesota 2.229116 0.298366 7.4711 1.998e-13 ***
idMissouri 0.757157 0.161004 4.7027 3.001e-06 ***
idNebraska 0.579546 0.369781 1.5673 0.1174290
idNevada 1.694472 0.281642 6.0164 2.661e-09 ***
idNewHampshire 2.293302 0.492015 4.6610 3.658e-06 ***
idNewJersey 1.689312 0.282381 5.9824 3.254e-09 ***
idNewMexico 1.879327 0.315616 5.9545 3.833e-09 ***
idNewYork 2.151136 0.544707 3.9492 8.501e-05 ***
idNorthCarolina 1.544472 0.251491 6.1413 1.263e-09 ***
idOhio 1.859034 0.341748 5.4398 7.002e-08 ***
idOklahoma 0.769260 0.124885 6.1598 1.129e-09 ***
idOregon 2.524903 0.257273 9.8141 < 2.2e-16 ***
idPennsylvania 1.859490 0.380924 4.8815 1.260e-06 ***
idRhodeIsland 2.328914 0.530228 4.3923 1.265e-05 ***
idSouthCarolina 1.226624 0.121861 10.0658 < 2.2e-16 ***
idSouthDakota 0.868935 0.660747 1.3151 0.1888421
idTennessee 0.317134 0.186864 1.6971 0.0900416 .
idTexas 1.110371 0.560422 1.9813 0.0478822 *
idUtah 1.570628 0.273199 5.7490 1.256e-08 ***
idVermont 1.858525 0.760358 2.4443 0.0147192 *
idVirginia 1.387055 0.235956 5.8784 5.973e-09 ***
idWashington 1.920263 0.274452 6.9967 5.359e-12 ***
idWisconsin 1.761692 0.269309 6.5415 1.058e-10 ***
time2000 -3.648560 8.687095 -0.4200 0.6745947
time2001 -3.587727 8.689496 -0.4129 0.6797994
time2002 -3.488091 8.692907 -0.4013 0.6883330
time2003 -3.433261 8.695209 -0.3948 0.6930576
time2004 -3.422531 8.700571 -0.3934 0.6941473
time2005 -3.164074 8.705731 -0.3634 0.7163624
time2006 -3.098552 8.709925 -0.3557 0.7221176
time2007 -2.906037 8.710221 -0.3336 0.7387382
time2008 -2.828194 8.707062 -0.3248 0.7454012
time2009 -2.650826 8.705284 -0.3045 0.7608166
time2010 -2.680248 8.709136 -0.3078 0.7583479
time2011 -2.720435 8.711674 -0.3123 0.7549094
time2012 -2.778510 8.715467 -0.3188 0.7499558
time2013 -2.793847 8.710641 -0.3207 0.7484877
time2014 -3.065286 8.712348 -0.3518 0.7250523
time2015 -3.068871 8.717974 -0.3520 0.7249143
time2016 -3.137769 8.720100 -0.3598 0.7190635
time2017 -3.184964 8.720369 -0.3652 0.7150298
time2018 -3.137329 8.720540 -0.3598 0.7191148
time2019 -3.303568 8.721492 -0.3788 0.7049435
time2020 -4.250411 8.722353 -0.4873 0.6261724
iis44 1.186998 0.317098 3.7433 0.0001940 ***
iis55 0.903649 0.302251 2.9897 0.0028738 **
iis152 -0.928396 0.309400 -3.0006 0.0027740 **
iis226 -0.877488 0.312560 -2.8074 0.0051098 **
iis228 -1.404911 0.334546 -4.1995 2.962e-05 ***
iis229 -1.685381 0.334490 -5.0387 5.743e-07 ***
iis336 1.071817 0.297509 3.6026 0.0003335 ***
iis343 -1.074992 0.296548 -3.6250 0.0003063 ***
iis485 -1.052646 0.297139 -3.5426 0.0004181 ***
iis513 -0.889794 0.303872 -2.9282 0.0035017 **
iis515 -0.794270 0.304116 -2.6117 0.0091694 **
iis782 1.355076 0.309289 4.3813 1.329e-05 ***
iis787 0.817778 0.305713 2.6750 0.0076188 **
iis884 -0.953170 0.296965 -3.2097 0.0013792 **
fesisArkansas.2006 -0.680353 0.211406 -3.2182 0.0013394 **
fesisArkansas.2009 0.882508 0.188922 4.6713 3.485e-06 ***
fesisConnecticut.2009 -0.555187 0.130669 -4.2488 2.390e-05 ***
fesisDelaware.2014 -0.897092 0.140075 -6.4044 2.512e-10 ***
fesisDistrictofColumbia.2008 -1.015891 0.201514 -5.0413 5.667e-07 ***
fesisDistrictofColumbia.2011 1.166808 0.194069 6.0123 2.727e-09 ***
fesisHawaii.2001 0.999951 0.307266 3.2543 0.0011820 **
fesisHawaii.2009 -0.616310 0.157384 -3.9160 9.735e-05 ***
fesisHawaii.2016 0.650914 0.205245 3.1714 0.0015722 **
fesisLouisiana.2011 -0.699689 0.170194 -4.1111 4.325e-05 ***
fesisLouisiana.2015 0.906486 0.188331 4.8133 1.761e-06 ***
fesisMaine.2011 0.540273 0.129281 4.1790 3.234e-05 ***
fesisNebraska.2012 0.526933 0.138728 3.7983 0.0001562 ***
fesisNevada.2012 -0.732831 0.147274 -4.9760 7.878e-07 ***
fesisNevada.2019 0.961842 0.232967 4.1287 4.013e-05 ***
fesisOregon.2004 -0.670177 0.162459 -4.1252 4.073e-05 ***
fesisRhodeIsland.2005 -0.669029 0.152070 -4.3995 1.225e-05 ***
fesisSouthCarolina.2008 0.736542 0.132786 5.5469 3.899e-08 ***
fesisSouthDakota.2008 0.896772 0.160324 5.5935 3.012e-08 ***
fesisSouthDakota.2018 -0.642972 0.194862 -3.2996 0.0010089 **
fesisTennessee.2005 0.461761 0.148749 3.1043 0.0019713 **
fesisUtah.2016 -0.460655 0.157504 -2.9247 0.0035404 **
fesisWisconsin.2014 0.455637 0.135365 3.3660 0.0007973 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.3997 1 0.23677
Ljung-Box ARCH(1) 2.7238 1 0.09886 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.28592
R-squared 0.94558
Log-lik.(n=945) -104.72881 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:05:25 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.8286385 1.2794922 -2.2108 0.0273881 *
lpop 0.7991606 0.3924147 2.0365 0.0420885 *
lgdp_sq 0.1061477 0.0479933 2.2117 0.0273207 *
avg_temp 0.0017879 0.0119487 0.1496 0.8811005
idCalifornia 0.7285256 0.5644320 1.2907 0.1972422
idColorado 0.5307503 0.2090028 2.5394 0.0113265 *
idConnecticut 1.4036377 0.2555598 5.4924 5.623e-08 ***
idDelaware 0.9332987 0.5902978 1.5811 0.1143325
idDistrictofColumbia 0.0827699 0.7690344 0.1076 0.9143225
idFlorida -0.4281519 0.3475985 -1.2317 0.2184748
idGeorgia -0.4829839 0.1508301 -3.2022 0.0014281 **
idIdaho -0.8238546 0.4742414 -1.7372 0.0828078 .
idIllinois -0.0170430 0.2567340 -0.0664 0.9470918
idIndiana -0.6726668 0.1317963 -5.1038 4.334e-07 ***
idIowa -1.0124147 0.2672484 -3.7883 0.0001652 ***
idKentucky -1.3151196 0.1469878 -8.9471 < 2.2e-16 ***
idMaryland -0.2552755 0.1233129 -2.0701 0.0388192 *
idMassachusetts 1.1590608 0.1950324 5.9429 4.491e-09 ***
idMichigan 0.3570893 0.2492280 1.4328 0.1523839
idMinnesota 0.4121986 0.2524783 1.6326 0.1030181
idMissouri -0.8617777 0.1067642 -8.0718 3.186e-15 ***
idNevada -0.0913251 0.3099275 -0.2947 0.7683397
idNewHampshire 0.0889982 0.5024943 0.1771 0.8594730
idNewJersey 0.1463257 0.1753847 0.8343 0.4044004
idNewMexico -0.0692176 0.3503734 -0.1976 0.8434536
idNewYork 0.8284440 0.4365474 1.8977 0.0581602 .
idNorthCarolina 0.0703110 0.1429585 0.4918 0.6230011
idOhio 0.2735932 0.2292187 1.1936 0.2330583
idOklahoma -0.8766441 0.1697515 -5.1643 3.181e-07 ***
idOregon 0.0508574 0.2254590 0.2256 0.8216021
idPennsylvania 0.2471707 0.2663081 0.9281 0.3536682
idRhodeIsland 0.0897760 0.5370074 0.1672 0.8672799
idSouthCarolina -0.3601558 0.1481146 -2.4316 0.0152917 *
idTennessee -0.8070995 0.0856527 -9.4229 < 2.2e-16 ***
idTexas -0.2395452 0.4301886 -0.5568 0.5778232
idUtah -0.4038983 0.2885975 -1.3995 0.1621168
idVirginia -0.1407643 0.1351383 -1.0416 0.2979559
idWashington 0.2370515 0.1992047 1.1900 0.2344696
idWisconsin -0.0397203 0.2207459 -0.1799 0.8572563
time2000 14.0862371 8.1920035 1.7195 0.0859805 .
time2001 14.1361611 8.1941073 1.7252 0.0849567 .
time2002 14.2910740 8.1967697 1.7435 0.0817021 .
time2003 14.2892532 8.1976492 1.7431 0.0817736 .
time2004 14.3585813 8.2020321 1.7506 0.0804676 .
time2005 14.5641863 8.2065259 1.7747 0.0763974 .
time2006 14.7453900 8.2103794 1.7959 0.0729510 .
time2007 14.8345805 8.2102761 1.8068 0.0712345 .
time2008 14.9372590 8.2074439 1.8200 0.0692078 .
time2009 15.0864956 8.2049439 1.8387 0.0663979 .
time2010 15.1148519 8.2085538 1.8414 0.0660090 .
time2011 15.1005824 8.2100475 1.8393 0.0663136 .
time2012 15.0335212 8.2142125 1.8302 0.0676639 .
time2013 14.9971350 8.2090104 1.8269 0.0681552 .
time2014 14.6902233 8.2104145 1.7892 0.0740286 .
time2015 14.7502888 8.2157811 1.7954 0.0730441 .
time2016 14.6245190 8.2182310 1.7795 0.0756048 .
time2017 14.6158084 8.2183502 1.7784 0.0757830 .
time2018 14.6644483 8.2181756 1.7844 0.0748097 .
time2019 14.5181698 8.2179961 1.7666 0.0777425 .
time2020 13.5574971 8.2200364 1.6493 0.0995474 .
iis105 -0.7470096 0.2733362 -2.7329 0.0064419 **
iis110 -0.9420704 0.2701878 -3.4867 0.0005207 ***
iis114 -0.7834633 0.2917471 -2.6854 0.0074221 **
iis259 -1.1340127 0.2589581 -4.3791 1.381e-05 ***
iis359 -1.0122685 0.2594416 -3.9017 0.0001051 ***
iis397 -0.7091421 0.2683711 -2.6424 0.0084234 **
iis549 1.1053306 0.2601665 4.2486 2.454e-05 ***
iis550 0.8161732 0.2606722 3.1310 0.0018172 **
iis631 -0.8225512 0.2591745 -3.1737 0.0015734 **
iis634 -0.8965576 0.2593782 -3.4566 0.0005815 ***
iis692 -0.8295480 0.2628971 -3.1554 0.0016741 **
iis695 -0.9289610 0.2592154 -3.5837 0.0003631 ***
fesisConnecticut.2009 -0.5653974 0.1143400 -4.9449 9.629e-07 ***
fesisDelaware.2014 -0.7833498 0.1284882 -6.0967 1.823e-09 ***
fesisDistrictofColumbia.2008 -0.6073745 0.1767351 -3.4366 0.0006252 ***
fesisDistrictofColumbia.2012 0.8621989 0.1719290 5.0149 6.794e-07 ***
fesisNevada.2010 -0.6292925 0.1299019 -4.8444 1.577e-06 ***
fesisNevada.2019 0.7928664 0.2009028 3.9465 8.762e-05 ***
fesisNewYork.2005 -0.4460577 0.1341383 -3.3254 0.0009309 ***
fesisRhodeIsland.2005 -0.6417837 0.1343330 -4.7776 2.179e-06 ***
fesisSouthCarolina.2008 0.7492720 0.1158514 6.4675 1.914e-10 ***
fesisWisconsin.2014 0.4483956 0.1185070 3.7837 0.0001683 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.63112 1 0.2015
Ljung-Box ARCH(1) 0.97949 1 0.3223
SE of regression 0.24898
R-squared 0.94614
Log-lik.(n=756) 19.41498 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:52:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -173.839647 23.743146 -7.3217 5.131e-13 ***
lpop 21.517909 7.857243 2.7386 0.0062828 **
lgdp_sq 6.286167 0.985121 6.3811 2.717e-10 ***
avg_temp -0.024337 0.244488 -0.0995 0.9207284
idAlaska -0.970332 15.503298 -0.0626 0.9501068
idArizona 18.049776 2.816097 6.4095 2.273e-10 ***
idArkansas -4.108178 3.868953 -1.0618 0.2885757
idCalifornia 116.355891 15.438775 7.5366 1.103e-13 ***
idColorado 32.041465 4.878563 6.5678 8.305e-11 ***
idConnecticut 52.849024 5.027212 10.5126 < 2.2e-16 ***
idDelaware 14.925191 11.313677 1.3192 0.1874074
idDistrictofColumbia 30.392283 14.682934 2.0699 0.0387249 *
idFlorida 15.792479 9.246269 1.7080 0.0879586 .
idGeorgia 12.269744 5.069713 2.4202 0.0156942 *
idHawaii -0.151160 9.028967 -0.0167 0.9866462
idIdaho -8.335227 9.189451 -0.9070 0.3646089
idIllinois 23.800302 7.443354 3.1975 0.0014309 **
idIndiana 8.207571 3.974591 2.0650 0.0391867 *
idIowa 5.259738 5.129192 1.0255 0.3054053
idKansas 3.605216 4.428015 0.8142 0.4157394
idKentucky 0.897098 2.760316 0.3250 0.7452522
idLouisiana 5.549265 2.638762 2.1030 0.0357240 *
idMaine -8.378734 10.273905 -0.8155 0.4149657
idMaryland 15.345951 3.517506 4.3627 1.422e-05 ***
idMassachusetts 48.932735 5.730490 8.5390 < 2.2e-16 ***
idMichigan 34.415710 6.766832 5.0859 4.388e-07 ***
idMinnesota 27.443237 5.864239 4.6798 3.279e-06 ***
idMississippi -8.034347 3.791856 -2.1188 0.0343569 *
idMissouri 6.016000 3.252983 1.8494 0.0647065 .
idMontana -15.743007 12.006644 -1.3112 0.1901028
idNebraska 3.009035 7.371508 0.4082 0.6832182
idNevada 8.512748 5.304273 1.6049 0.1088439
idNewHampshire 4.654042 9.865143 0.4718 0.6371995
idNewJersey 26.507377 5.491436 4.8270 1.609e-06 ***
idNewMexico 4.489114 6.314296 0.7109 0.4772892
idNewYork 66.373044 10.901539 6.0884 1.640e-09 ***
idNorthCarolina 23.403386 4.979711 4.6997 2.980e-06 ***
idNorthDakota -17.981387 14.564243 -1.2346 0.2172683
idOhio 32.489378 6.733945 4.8247 1.627e-06 ***
idOklahoma 4.607253 2.689293 1.7132 0.0869976 .
idOregon 15.471379 4.563059 3.3906 0.0007255 ***
idPennsylvania 25.783332 7.923748 3.2539 0.0011774 **
idRhodeIsland -4.307630 10.558764 -0.4080 0.6833875
idSouthCarolina 18.465272 2.040843 9.0479 < 2.2e-16 ***
idSouthDakota -10.661499 12.717169 -0.8384 0.4020376
idTennessee 6.583389 3.048079 2.1598 0.0310283 *
idTexas 27.719805 11.277590 2.4580 0.0141467 *
idUtah 6.861015 5.393363 1.2721 0.2036341
idVermont -20.331350 14.923096 -1.3624 0.1733847
idVirginia 18.597458 4.597487 4.0451 5.644e-05 ***
idWashington 26.322530 5.325946 4.9423 9.088e-07 ***
idWestVirginia -9.198380 7.170438 -1.2828 0.1998610
idWisconsin 19.471682 5.338433 3.6475 0.0002789 ***
idWyoming -6.805647 15.457943 -0.4403 0.6598405
time2000 996.202193 161.750238 6.1589 1.071e-09 ***
time2001 997.029124 161.821720 6.1613 1.055e-09 ***
time2002 999.114728 161.862712 6.1726 9.851e-10 ***
time2003 999.904189 161.865168 6.1774 9.568e-10 ***
time2004 1001.624355 161.926271 6.1857 9.097e-10 ***
time2005 1003.921371 161.993259 6.1973 8.474e-10 ***
time2006 1006.491736 162.088082 6.2095 7.863e-10 ***
time2007 1008.352621 162.090129 6.2209 7.333e-10 ***
time2008 1010.286096 162.061640 6.2340 6.770e-10 ***
time2009 1013.397190 162.094249 6.2519 6.063e-10 ***
time2010 1014.383437 162.172053 6.2550 5.949e-10 ***
time2011 1013.492433 162.210206 6.2480 6.209e-10 ***
time2012 1012.406314 162.290683 6.2382 6.594e-10 ***
time2013 1011.833543 162.155723 6.2399 6.528e-10 ***
time2014 1007.790921 162.171322 6.2144 7.634e-10 ***
time2015 1008.558828 162.281479 6.2149 7.610e-10 ***
time2016 1006.729553 162.340502 6.2013 8.267e-10 ***
time2017 1007.475374 162.332848 6.2062 8.024e-10 ***
time2018 1007.450832 162.290254 6.2077 7.951e-10 ***
time2019 1005.870319 162.268309 6.1988 8.396e-10 ***
time2020 997.170380 162.367057 6.1415 1.190e-09 ***
iis85 -72.253787 9.427735 -7.6640 4.356e-14 ***
iis86 -46.745558 9.425537 -4.9595 8.340e-07 ***
iis87 -54.388869 9.418837 -5.7745 1.038e-08 ***
iis88 -53.507737 9.418476 -5.6811 1.767e-08 ***
iis89 -24.778486 9.406539 -2.6342 0.0085682 **
iis92 39.502726 7.457722 5.2969 1.457e-07 ***
iis93 87.056601 7.450347 11.6849 < 2.2e-16 ***
iis94 119.945499 7.460277 16.0779 < 2.2e-16 ***
iis95 87.646053 7.469076 11.7345 < 2.2e-16 ***
iis96 77.532533 7.474198 10.3734 < 2.2e-16 ***
iis97 64.259629 7.461188 8.6125 < 2.2e-16 ***
iis98 57.109061 7.437206 7.6788 3.905e-14 ***
iis105 -140.895202 7.680583 -18.3443 < 2.2e-16 ***
iis450 28.386999 7.109274 3.9930 7.017e-05 ***
iis693 -34.933368 7.438931 -4.6960 3.034e-06 ***
fesisCalifornia.2006 79.794177 7.492126 10.6504 < 2.2e-16 ***
fesisCalifornia.2017 -41.262296 5.166510 -7.9865 3.906e-15 ***
fesisConnecticut.2013 -19.784585 3.033061 -6.5230 1.107e-10 ***
fesisMassachusetts.2006 32.722215 3.738906 8.7518 < 2.2e-16 ***
fesisMassachusetts.2014 -26.994156 3.575324 -7.5501 9.999e-14 ***
fesisNewYork.2016 -19.707860 3.840399 -5.1317 3.466e-07 ***
fesisNorthDakota.2012 18.916494 3.823981 4.9468 8.886e-07 ***
fesisPennsylvania.2007 29.265085 3.584766 8.1637 1.001e-15 ***
fesisPennsylvania.2014 -29.756674 3.577567 -8.3176 3.010e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 192.37 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 111.12 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.58252
R-squared 0.96801
Log-lik.(n=1071) -3488.39465 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:50:02 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -176.245763 30.023060 -5.8703 6.229e-09 ***
lpop 18.116729 8.734277 2.0742 0.0383599 *
lgdp_sq 6.567803 1.207662 5.4384 7.027e-08 ***
avg_temp 0.028904 0.296768 0.0974 0.9224359
idArizona 17.444948 3.078434 5.6668 1.991e-08 ***
idArkansas -3.307541 4.274947 -0.7737 0.4393212
idCalifornia 99.300329 16.144536 6.1507 1.186e-09 ***
idColorado 31.290625 5.808351 5.3872 9.268e-08 ***
idConnecticut 53.195957 5.995201 8.8731 < 2.2e-16 ***
idDelaware 14.189516 12.479999 1.1370 0.2558664
idDistrictofColumbia 26.163534 16.177090 1.6173 0.1061798
idFlorida 12.941193 10.162383 1.2734 0.2032094
idGeorgia 10.370166 5.585725 1.8565 0.0637209 .
idHawaii -1.114160 10.200826 -0.1092 0.9130517
idIdaho -6.404263 10.479041 -0.6111 0.5412636
idIllinois 21.277042 8.389608 2.5361 0.0113867 *
idIndiana 7.644021 4.614610 1.6565 0.0979928 .
idIowa 5.439245 5.878849 0.9252 0.3551124
idKansas 3.598232 4.910195 0.7328 0.4638771
idKentucky 1.216223 3.093844 0.3931 0.6943362
idLouisiana 4.230347 2.912946 1.4523 0.1467986
idMaine -6.572551 11.687704 -0.5623 0.5740274
idMaryland 13.948987 4.049181 3.4449 0.0005992 ***
idMassachusetts 47.550068 6.650564 7.1498 1.872e-12 ***
idMichigan 33.893945 7.862469 4.3109 1.816e-05 ***
idMinnesota 26.879681 7.037513 3.8195 0.0001434 ***
idMissouri 5.520238 3.722717 1.4829 0.1384840
idNebraska 3.202723 8.228396 0.3892 0.6972048
idNevada 8.617502 5.960507 1.4458 0.1486109
idNewHampshire 5.501707 11.093651 0.4959 0.6200698
idNewJersey 24.277686 6.262642 3.8766 0.0001141 ***
idNewMexico 5.295652 7.034449 0.7528 0.4517682
idNewYork 62.510466 12.322888 5.0727 4.816e-07 ***
idNorthCarolina 21.914654 5.527497 3.9647 7.967e-05 ***
idOhio 30.982222 7.626853 4.0623 5.309e-05 ***
idOklahoma 4.484921 2.904775 1.5440 0.1229643
idOregon 15.872247 5.333027 2.9762 0.0030009 **
idPennsylvania 24.509509 8.970553 2.7322 0.0064213 **
idRhodeIsland -3.476829 11.807692 -0.2945 0.7684824
idSouthCarolina 18.513014 2.148837 8.6154 < 2.2e-16 ***
idSouthDakota -9.560757 14.303676 -0.6684 0.5040516
idTennessee 5.935001 3.402551 1.7443 0.0814714 .
idTexas 23.361043 12.403163 1.8835 0.0599769 .
idUtah 7.390288 6.123544 1.2069 0.2278197
idVermont -18.752460 16.917865 -1.1084 0.2679845
idVirginia 16.835190 5.213069 3.2294 0.0012880 **
idWashington 24.899126 6.290693 3.9581 8.186e-05 ***
idWisconsin 19.391395 6.384449 3.0373 0.0024600 **
time2000 1009.453997 201.138589 5.0187 6.336e-07 ***
time2001 1010.257627 201.215443 5.0208 6.270e-07 ***
time2002 1012.336087 201.265995 5.0298 5.989e-07 ***
time2003 1013.021879 201.273853 5.0331 5.892e-07 ***
time2004 1014.496399 201.365993 5.0381 5.744e-07 ***
time2005 1017.343857 201.443131 5.0503 5.399e-07 ***
time2006 1019.226989 201.538420 5.0572 5.211e-07 ***
time2007 1021.490519 201.532558 5.0686 4.918e-07 ***
time2008 1023.657887 201.495465 5.0803 4.633e-07 ***
time2009 1027.680389 201.503218 5.1001 4.187e-07 ***
time2010 1028.634508 201.598640 5.1024 4.138e-07 ***
time2011 1027.409707 201.639036 5.0953 4.291e-07 ***
time2012 1026.362665 201.756809 5.0871 4.474e-07 ***
time2013 1025.479998 201.596034 5.0868 4.481e-07 ***
time2014 1020.772292 201.614653 5.0630 5.061e-07 ***
time2015 1021.488828 201.748433 5.0632 5.056e-07 ***
time2016 1019.542754 201.837322 5.0513 5.371e-07 ***
time2017 1020.242817 201.830977 5.0549 5.272e-07 ***
time2018 1020.088057 201.795201 5.0551 5.269e-07 ***
time2019 1018.257492 201.780724 5.0464 5.507e-07 ***
time2020 1008.574903 201.879804 4.9959 7.107e-07 ***
iis64 -59.526300 8.604792 -6.9178 9.015e-12 ***
iis65 -33.949075 8.602693 -3.9463 8.590e-05 ***
iis66 -41.631132 8.595267 -4.8435 1.515e-06 ***
iis67 -40.860067 8.593718 -4.7546 2.334e-06 ***
iis70 51.998691 8.295222 6.2685 5.788e-10 ***
iis71 81.474089 8.260623 9.8629 < 2.2e-16 ***
iis72 128.769510 8.250107 15.6082 < 2.2e-16 ***
iis73 160.973783 8.282680 19.4350 < 2.2e-16 ***
iis74 128.681744 8.270569 15.5590 < 2.2e-16 ***
iis75 118.868247 8.266610 14.3793 < 2.2e-16 ***
iis76 105.335659 8.236705 12.7886 < 2.2e-16 ***
iis77 98.354302 8.198176 11.9971 < 2.2e-16 ***
iis78 40.345982 8.229411 4.9027 1.132e-06 ***
iis79 37.454179 8.133418 4.6050 4.755e-06 ***
iis80 37.269735 8.110122 4.5955 4.971e-06 ***
iis84 -139.811622 8.093878 -17.2738 < 2.2e-16 ***
iis429 28.802590 7.491680 3.8446 0.0001297 ***
iis630 -33.606848 7.839566 -4.2868 2.020e-05 ***
fesisCalifornia.2006 49.817883 6.750533 7.3798 3.770e-13 ***
fesisConnecticut.2009 -16.283117 3.142962 -5.1808 2.760e-07 ***
fesisMassachusetts.2006 31.571813 3.944811 8.0034 3.956e-15 ***
fesisMassachusetts.2014 -26.363943 3.766785 -6.9991 5.224e-12 ***
fesisNewYork.2016 -19.893782 4.059625 -4.9004 1.145e-06 ***
fesisPennsylvania.2007 28.126915 3.780081 7.4408 2.448e-13 ***
fesisPennsylvania.2014 -28.952330 3.770858 -7.6779 4.436e-14 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 170.229 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 92.886 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.92679
R-squared 0.96778
Log-lik.(n=945) -3122.84625 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:53:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -216.247104 42.958122 -5.0339 6.168e-07 ***
lpop 19.583986 10.632157 1.8420 0.0659185 .
lgdp_sq 8.364344 1.662096 5.0324 6.214e-07 ***
avg_temp 0.034432 0.380949 0.0904 0.9280077
idCalifornia 19.993621 16.756476 1.1932 0.2332138
idColorado 14.055231 6.524758 2.1541 0.0315816 *
idConnecticut 27.924275 7.224886 3.8650 0.0001218 ***
idDelaware 2.992999 16.496765 0.1814 0.8560848
idDistrictofColumbia 15.141215 20.823727 0.7271 0.4674077
idFlorida -13.740507 10.291483 -1.3351 0.1822813
idGeorgia -10.830084 4.559568 -2.3752 0.0178149 *
idIdaho -18.389541 14.187966 -1.2961 0.1953701
idIllinois -3.599542 7.708469 -0.4670 0.6406792
idIndiana -10.335221 4.170384 -2.4782 0.0134459 *
idIowa -8.640046 8.000906 -1.0799 0.2805786
idKentucky -13.834928 4.439867 -3.1161 0.0019103 **
idMaryland -4.220224 3.752633 -1.1246 0.2611557
idMassachusetts 28.417443 6.615991 4.2953 2.000e-05 ***
idMichigan 13.054917 7.613061 1.7148 0.0868386 .
idMinnesota 9.350277 7.969998 1.1732 0.2411345
idMissouri -11.790920 3.346899 -3.5229 0.0004555 ***
idNevada -4.902517 8.421239 -0.5822 0.5606521
idNewHampshire -6.184032 14.751104 -0.4192 0.6751847
idNewJersey 2.429452 5.370686 0.4524 0.6511588
idNewMexico -7.153517 10.193738 -0.7018 0.4830725
idNewYork 31.294220 12.664106 2.4711 0.0137150 *
idNorthCarolina 1.077195 4.262329 0.2527 0.8005578
idOhio 8.266134 6.830433 1.2102 0.2266277
idOklahoma -10.214122 4.932818 -2.0706 0.0387703 *
idOregon 1.037286 6.923229 0.1498 0.8809458
idPennsylvania 9.734839 7.963979 1.2224 0.2219974
idRhodeIsland -15.032843 15.798444 -0.9515 0.3416702
idSouthCarolina 3.233538 3.767995 0.8582 0.3911086
idTennessee -11.695954 2.643624 -4.4242 1.128e-05 ***
idTexas -8.738287 12.877966 -0.6785 0.4976577
idUtah -6.110504 8.558438 -0.7140 0.4754892
idVirginia -3.592369 4.134330 -0.8689 0.3852033
idWashington 5.293991 6.239624 0.8484 0.3964889
idWisconsin 2.181029 7.050425 0.3093 0.7571526
time2000 1232.598503 274.171776 4.4957 8.156e-06 ***
time2001 1234.033651 274.243906 4.4998 8.006e-06 ***
time2002 1236.243403 274.287648 4.5071 7.742e-06 ***
time2003 1236.589003 274.301765 4.5081 7.706e-06 ***
time2004 1237.957172 274.440635 4.5108 7.611e-06 ***
time2005 1240.824962 274.536289 4.5197 7.308e-06 ***
time2006 1243.185479 274.652744 4.5264 7.088e-06 ***
time2007 1246.160557 274.638491 4.5375 6.736e-06 ***
time2008 1249.694646 274.571860 4.5514 6.316e-06 ***
time2009 1253.304110 274.516457 4.5655 5.919e-06 ***
time2010 1254.512167 274.617979 4.5682 5.845e-06 ***
time2011 1252.714063 274.656854 4.5610 6.043e-06 ***
time2012 1251.138202 274.780565 4.5532 6.264e-06 ***
time2013 1250.377398 274.608732 4.5533 6.262e-06 ***
time2014 1243.615806 274.640358 4.5282 7.030e-06 ***
time2015 1244.291119 274.796560 4.5280 7.034e-06 ***
time2016 1241.520577 274.891529 4.5164 7.420e-06 ***
time2017 1242.290298 274.884963 4.5193 7.322e-06 ***
time2018 1241.921007 274.873297 4.5182 7.360e-06 ***
time2019 1240.093098 274.884579 4.5113 7.594e-06 ***
time2020 1227.411738 274.935795 4.4644 9.407e-06 ***
iis28 100.612783 9.765961 10.3024 < 2.2e-16 ***
iis29 129.132424 9.762842 13.2269 < 2.2e-16 ***
iis30 174.925060 9.773509 17.8979 < 2.2e-16 ***
iis31 207.926195 9.763127 21.2971 < 2.2e-16 ***
iis32 175.127387 9.774532 17.9167 < 2.2e-16 ***
iis33 165.710711 9.790832 16.9251 < 2.2e-16 ***
iis34 152.393512 9.793784 15.5602 < 2.2e-16 ***
iis35 144.897910 9.810544 14.7696 < 2.2e-16 ***
iis36 88.486067 9.928841 8.9120 < 2.2e-16 ***
iis37 85.071034 9.888552 8.6030 < 2.2e-16 ***
iis38 85.329641 9.925956 8.5966 < 2.2e-16 ***
iis39 55.624117 9.999951 5.5624 3.833e-08 ***
iis40 55.260398 10.078856 5.4828 5.914e-08 ***
iis41 30.286697 10.146669 2.9849 0.0029390 **
iis42 -89.847726 10.118910 -8.8792 < 2.2e-16 ***
fesisCalifornia.2004 43.010895 6.922703 6.2130 9.078e-10 ***
fesisMassachusetts.2006 32.721066 4.357914 7.5084 1.894e-13 ***
fesisMassachusetts.2014 -27.578095 4.142594 -6.6572 5.771e-11 ***
fesisNewYork.2016 -25.507251 4.237154 -6.0199 2.860e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 128.621 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 55.077 1 1.159e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.84514
R-squared 0.96464
Log-lik.(n=756) -2590.49766 AR1
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:14:04 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.019074 0.028916 0.6596 0.5096505
lgdp 50.380694 3.690418 13.6518 < 2.2e-16 ***
lpop -39.613917 2.273062 -17.4276 < 2.2e-16 ***
lgdp_sq -1.830075 0.220054 -8.3165 3.283e-16 ***
avg_temp -0.063897 0.089415 -0.7146 0.4750331
idAlaska -0.796288 0.174284 -4.5689 5.578e-06 ***
idArizona 1.903561 0.130671 14.5676 < 2.2e-16 ***
idArkansas 0.884278 0.380006 2.3270 0.0201833 *
idCalifornia 4.173524 0.170702 24.4491 < 2.2e-16 ***
idColorado 2.252950 0.135064 16.6807 < 2.2e-16 ***
idConnecticut 2.893930 0.177418 16.3113 < 2.2e-16 ***
idDelaware 1.757921 0.142069 12.3737 < 2.2e-16 ***
idDistrictofColumbia 0.216523 0.172481 1.2553 0.2096762
idFlorida 2.345285 0.136321 17.2042 < 2.2e-16 ***
idGeorgia 1.655659 0.127894 12.9456 < 2.2e-16 ***
idHawaii 0.141390 0.122345 1.1557 0.2481241
idIdaho 0.286037 0.117676 2.4307 0.0152610 *
idIllinois 2.362110 0.136976 17.2447 < 2.2e-16 ***
idIndiana 1.197654 0.122689 9.7617 < 2.2e-16 ***
idIowa 0.272706 0.117625 2.3184 0.0206469 *
idKansas -0.019323 0.117321 -0.1647 0.8692158
idKentucky 0.179184 0.118953 1.5063 0.1323274
idLouisiana 0.113721 0.117414 0.9685 0.3330288
idMaine 0.191079 0.118895 1.6071 0.1083725
idMaryland 1.535412 0.125893 12.1962 < 2.2e-16 ***
idMassachusetts 3.038116 0.148278 20.4893 < 2.2e-16 ***
idMichigan 2.572753 0.140442 18.3189 < 2.2e-16 ***
idMinnesota 2.145976 0.134036 16.0104 < 2.2e-16 ***
idMississippi -1.227179 0.128317 -9.5637 < 2.2e-16 ***
idMissouri 0.928943 0.121591 7.6399 5.502e-14 ***
idMontana -0.617057 0.118549 -5.2051 2.397e-07 ***
idNebraska -0.650784 0.145603 -4.4696 8.826e-06 ***
idNevada 0.886146 0.120400 7.3600 4.111e-13 ***
idNewHampshire 1.066159 0.122133 8.7295 < 2.2e-16 ***
idNewJersey 2.236596 0.135136 16.5507 < 2.2e-16 ***
idNewMexico 1.202397 0.122950 9.7796 < 2.2e-16 ***
idNewYork 3.261397 0.152716 21.3560 < 2.2e-16 ***
idNorthCarolina 2.246451 0.135129 16.6245 < 2.2e-16 ***
idNorthDakota -0.757478 0.121757 -6.2212 7.514e-10 ***
idOhio 2.579687 0.140929 18.3049 < 2.2e-16 ***
idOklahoma 0.647998 0.118829 5.4532 6.376e-08 ***
idOregon 1.706828 0.128090 13.3253 < 2.2e-16 ***
idPennsylvania 2.641543 0.141661 18.6470 < 2.2e-16 ***
idRhodeIsland 1.222128 0.206057 5.9310 4.273e-09 ***
idSouthCarolina 1.330287 0.167759 7.9297 6.414e-15 ***
idSouthDakota -0.994212 0.231375 -4.2970 1.918e-05 ***
idTennessee 1.035226 0.122253 8.4679 < 2.2e-16 ***
idTexas 2.789460 0.143887 19.3865 < 2.2e-16 ***
idUtah 0.885998 0.120517 7.3517 4.360e-13 ***
idVermont -0.061984 0.117320 -0.5283 0.5973975
idVirginia 1.845607 0.129610 14.2397 < 2.2e-16 ***
idWashington 2.137756 0.133449 16.0193 < 2.2e-16 ***
idWestVirginia -0.769000 0.119275 -6.4473 1.845e-10 ***
idWisconsin 1.910537 0.130171 14.6771 < 2.2e-16 ***
idWyoming -0.441469 0.126854 -3.4801 0.0005249 ***
time2001 -2.796206 0.575464 -4.8590 1.389e-06 ***
time2002 -2.688232 0.533579 -5.0381 5.670e-07 ***
time2003 -2.583384 0.462749 -5.5827 3.126e-08 ***
time2004 -2.729814 0.329796 -8.2773 4.462e-16 ***
time2005 -2.379763 0.253069 -9.4036 < 2.2e-16 ***
time2006 -1.740122 0.203913 -8.5336 < 2.2e-16 ***
time2007 -1.208997 0.177097 -6.8268 1.585e-11 ***
time2008 -0.814112 0.217637 -3.7407 0.0001950 ***
time2009 -0.114294 0.257257 -0.4443 0.6569458
time2010 -0.065233 0.230503 -0.2830 0.7772398
time2011 0.039727 0.168189 0.2362 0.8133275
time2012 0.153991 0.153871 1.0008 0.3171987
time2013 -0.047213 0.205264 -0.2300 0.8181352
time2014 -0.206631 0.250061 -0.8263 0.4088372
time2015 0.103765 0.120943 0.8580 0.3911371
time2016 0.044282 0.109911 0.4029 0.6871214
iis17 -1.187407 0.379672 -3.1275 0.0018193 **
iis75 -1.459675 0.387977 -3.7623 0.0001791 ***
iis79 -1.565092 0.388756 -4.0259 6.148e-05 ***
iis164 -1.329543 0.399724 -3.3261 0.0009158 ***
iis168 -1.211812 0.429861 -2.8191 0.0049207 **
iis235 -1.699714 0.380613 -4.4657 8.982e-06 ***
iis237 -1.575378 0.382148 -4.1224 4.092e-05 ***
iis238 -1.791913 0.382284 -4.6874 3.190e-06 ***
iis346 -1.469578 0.379484 -3.8726 0.0001154 ***
iis384 -1.347022 0.379918 -3.5456 0.0004117 ***
iis481 1.386250 0.381498 3.6337 0.0002950 ***
iis482 2.027382 0.383003 5.2934 1.506e-07 ***
iis483 1.780332 0.385157 4.6223 4.342e-06 ***
iis501 -1.370882 0.379613 -3.6113 0.0003214 ***
iis548 -1.111002 0.389964 -2.8490 0.0044848 **
iis687 -1.197759 0.380949 -3.1441 0.0017198 **
iis829 1.027913 0.386266 2.6612 0.0079245 **
iis839 -1.628325 0.386425 -4.2138 2.761e-05 ***
iis843 -1.246098 0.379553 -3.2831 0.0010660 **
iis1002 1.203170 0.382050 3.1492 0.0016903 **
fesisAlaska.2007 -1.188477 0.207581 -5.7254 1.401e-08 ***
fesisAlaska.2014 0.768037 0.198037 3.8783 0.0001128 ***
fesisArkansas.2002 -1.556412 0.413664 -3.7625 0.0001790 ***
fesisArkansas.2006 -0.865953 0.282690 -3.0633 0.0022539 **
fesisArkansas.2009 1.518966 0.243887 6.2282 7.202e-10 ***
fesisConnecticut.2009 -0.605754 0.169841 -3.5666 0.0003805 ***
fesisDelaware.2014 -0.827115 0.183714 -4.5022 7.598e-06 ***
fesisDelaware.2020 -1.195272 0.399563 -2.9914 0.0028515 **
fesisDistrictofColumbia.2008 -0.680644 0.262891 -2.5891 0.0097770 **
fesisDistrictofColumbia.2012 0.980313 0.250622 3.9115 9.854e-05 ***
fesisMississippi.2020 1.526418 0.381401 4.0021 6.788e-05 ***
fesisNebraska.2012 0.774605 0.172102 4.5008 7.646e-06 ***
fesisRhodeIsland.2005 -0.896023 0.208246 -4.3027 1.870e-05 ***
fesisSouthCarolina.2008 0.823653 0.175107 4.7037 2.951e-06 ***
fesisSouthDakota.2004 1.689649 0.427221 3.9550 8.249e-05 ***
fesisSouthDakota.2005 -1.835290 0.427249 -4.2956 1.930e-05 ***
fesisSouthDakota.2008 1.198002 0.241569 4.9592 8.442e-07 ***
fesisWyoming.2017 -0.963831 0.235794 -4.0876 4.744e-05 ***
fesisWyoming.2020 1.948370 0.427297 4.5598 5.821e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.082864 1 0.773454
Ljung-Box ARCH(1) 7.193671 1 0.007316 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36611
R-squared 0.94128
Log-lik.(n=1020) -367.40855 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:18:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0239121 0.0298801 0.8003 0.4237944
lgdp 57.5247978 3.5671729 16.1262 < 2.2e-16 ***
lpop -44.4666086 2.1589340 -20.5966 < 2.2e-16 ***
lgdp_sq -2.1215720 0.2134996 -9.9371 < 2.2e-16 ***
avg_temp -0.1026811 0.0860950 -1.1926 0.2333630
idArizona 1.8915866 0.1213102 15.5930 < 2.2e-16 ***
idArkansas 0.8874350 0.3431175 2.5864 0.0098757 **
idCalifornia 4.1504309 0.1661113 24.9858 < 2.2e-16 ***
idColorado 2.2394061 0.1263399 17.7252 < 2.2e-16 ***
idConnecticut 2.9009937 0.1663522 17.4389 < 2.2e-16 ***
idDelaware 1.7540564 0.1310689 13.3827 < 2.2e-16 ***
idDistrictofColumbia 0.0047333 0.1346482 0.0352 0.9719663
idFlorida 2.3313228 0.1277725 18.2459 < 2.2e-16 ***
idGeorgia 1.6447919 0.1181096 13.9260 < 2.2e-16 ***
idHawaii 0.3955794 0.1399975 2.8256 0.0048374 **
idIdaho 0.3393721 0.1075880 3.1544 0.0016691 **
idIllinois 2.3479342 0.1285188 18.2692 < 2.2e-16 ***
idIndiana 1.1892996 0.1120650 10.6126 < 2.2e-16 ***
idIowa 0.2144950 0.1076127 1.9932 0.0465800 *
idKansas -0.0828311 0.1071419 -0.7731 0.4396948
idKentucky 0.1728113 0.1072665 1.6110 0.1075672
idLouisiana 0.2278078 0.1298206 1.7548 0.0796810 .
idMaine 0.2464072 0.1086861 2.2671 0.0236495 *
idMaryland 1.5254242 0.1157932 13.1737 < 2.2e-16 ***
idMassachusetts 3.0205980 0.1412721 21.3814 < 2.2e-16 ***
idMichigan 2.5574895 0.1324511 19.3089 < 2.2e-16 ***
idMinnesota 2.1327833 0.1251668 17.0395 < 2.2e-16 ***
idMissouri 0.9222261 0.1103449 8.3577 2.849e-16 ***
idNebraska -0.5349447 0.1365041 -3.9189 9.663e-05 ***
idNevada 1.0891394 0.1306414 8.3369 3.349e-16 ***
idNewHampshire 1.0581315 0.1114150 9.4972 < 2.2e-16 ***
idNewJersey 2.2230276 0.1264224 17.5841 < 2.2e-16 ***
idNewMexico 1.1938957 0.1123691 10.6248 < 2.2e-16 ***
idNewYork 3.2426927 0.1462315 22.1751 < 2.2e-16 ***
idNorthCarolina 2.2328855 0.1264147 17.6632 < 2.2e-16 ***
idOhio 2.5642760 0.1330015 19.2801 < 2.2e-16 ***
idOklahoma 0.6424913 0.1075377 5.9746 3.481e-09 ***
idOregon 2.3947247 0.2183618 10.9668 < 2.2e-16 ***
idPennsylvania 2.6259120 0.1338285 19.6215 < 2.2e-16 ***
idRhodeIsland 1.2362702 0.1871178 6.6069 7.189e-11 ***
idSouthCarolina 1.3444735 0.1530199 8.7863 < 2.2e-16 ***
idSouthDakota -1.0421200 0.1573426 -6.6233 6.474e-11 ***
idTennessee 1.0254099 0.1111381 9.2265 < 2.2e-16 ***
idTexas 2.7731753 0.1363394 20.3402 < 2.2e-16 ***
idUtah 0.8790363 0.1095217 8.0261 3.613e-15 ***
idVermont -0.0643018 0.1057608 -0.6080 0.5433662
idVirginia 1.8340424 0.1200894 15.2723 < 2.2e-16 ***
idWashington 2.1247684 0.1244956 17.0670 < 2.2e-16 ***
idWisconsin 1.8987535 0.1207349 15.7266 < 2.2e-16 ***
time2001 -3.3189900 0.5576481 -5.9518 3.978e-09 ***
time2002 -3.1919395 0.5168288 -6.1760 1.049e-09 ***
time2003 -3.1382404 0.4486038 -6.9956 5.616e-12 ***
time2004 -3.2123947 0.3199340 -10.0408 < 2.2e-16 ***
time2005 -2.7662973 0.2450167 -11.2902 < 2.2e-16 ***
time2006 -2.1273944 0.1971674 -10.7898 < 2.2e-16 ***
time2007 -1.5270887 0.1710328 -8.9286 < 2.2e-16 ***
time2008 -1.1272774 0.2107159 -5.3497 1.153e-07 ***
time2009 -0.3812735 0.2487736 -1.5326 0.1257697
time2010 -0.2670732 0.2229371 -1.1980 0.2312840
time2011 -0.1273744 0.1625702 -0.7835 0.4335651
time2012 0.0845766 0.1484669 0.5697 0.5690651
time2013 -0.1762375 0.1978779 -0.8906 0.3733934
time2014 -0.3691200 0.2409702 -1.5318 0.1259682
time2015 0.0400579 0.1164811 0.3439 0.7310120
time2016 0.0455975 0.1057538 0.4312 0.6664644
iis17 -1.2362128 0.3427541 -3.6067 0.0003295 ***
iis46 -1.6649063 0.3512129 -4.7404 2.527e-06 ***
iis47 -1.3509427 0.3519723 -3.8382 0.0001338 ***
iis48 -1.3512831 0.3512410 -3.8472 0.0001291 ***
iis55 -1.4618643 0.3502738 -4.1735 3.331e-05 ***
iis59 -1.5520531 0.3511068 -4.4205 1.122e-05 ***
iis144 -1.0982291 0.3527255 -3.1136 0.0019148 **
iis148 -1.6590430 0.3535382 -4.6927 3.175e-06 ***
iis215 -1.9411198 0.3864023 -5.0236 6.268e-07 ***
iis217 -1.8492782 0.3905291 -4.7353 2.590e-06 ***
iis218 -2.0598399 0.3856125 -5.3417 1.203e-07 ***
iis221 -1.1442567 0.3428108 -3.3379 0.0008836 ***
iis282 1.0889152 0.3435973 3.1692 0.0015874 **
iis326 -1.4050621 0.3426257 -4.1009 4.540e-05 ***
iis364 -1.3794284 0.3434210 -4.0167 6.462e-05 ***
iis370 -1.1294709 0.3433423 -3.2896 0.0010474 **
iis461 -1.3692432 0.3427407 -3.9950 7.071e-05 ***
iis488 -1.2044179 0.3544529 -3.3980 0.0007127 ***
iis490 -0.9784457 0.3520484 -2.7793 0.0055765 **
iis744 1.7624148 0.3607183 4.8858 1.246e-06 ***
iis749 0.9638154 0.3518808 2.7390 0.0063000 **
iis763 -1.1922663 0.3425717 -3.4803 0.0005281 ***
fesisArkansas.2002 -1.5447839 0.3734334 -4.1367 3.899e-05 ***
fesisArkansas.2006 0.6207334 0.1978040 3.1381 0.0017632 **
fesisConnecticut.2009 -0.6427252 0.1538459 -4.1777 3.271e-05 ***
fesisDelaware.2014 -1.0152696 0.1583442 -6.4118 2.467e-10 ***
fesisDistrictofColumbia.2012 0.4853782 0.1599014 3.0355 0.0024799 **
fesisHawaii.2009 -0.6901935 0.1807016 -3.8195 0.0001441 ***
fesisHawaii.2015 0.6578419 0.2380219 2.7638 0.0058458 **
fesisKansas.2020 1.2247968 0.3427241 3.5737 0.0003732 ***
fesisLouisiana.2011 -0.8506458 0.1990747 -4.2730 2.163e-05 ***
fesisLouisiana.2015 1.0270015 0.2168880 4.7352 2.592e-06 ***
fesisNebraska.2012 0.6350739 0.1597602 3.9752 7.674e-05 ***
fesisNevada.2012 -0.7161137 0.1626418 -4.4030 1.214e-05 ***
fesisNevada.2019 1.1238210 0.2678528 4.1957 3.028e-05 ***
fesisOregon.2004 -0.8221716 0.2102190 -3.9110 9.977e-05 ***
fesisRhodeIsland.2005 -0.8329253 0.1910162 -4.3605 1.468e-05 ***
fesisRhodeIsland.2019 -0.6991780 0.2529237 -2.7644 0.0058352 **
fesisSouthCarolina.2008 0.7839174 0.1583766 4.9497 9.080e-07 ***
fesisSouthDakota.2008 1.1853834 0.1782223 6.6512 5.412e-11 ***
fesisSouthDakota.2018 -0.9552586 0.2232071 -4.2797 2.100e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.055732 1 0.8134
Ljung-Box ARCH(1) 1.949523 1 0.1626
SE of regression 0.33003
R-squared 0.94252
Log-lik.(n=900) -226.32598 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:17:53 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.7582e-02 3.2905e-02 2.0538 0.0403961 *
lgdp -1.1582e+02 1.8532e+01 -6.2495 7.509e-10 ***
lpop 1.0886e+02 1.4519e+01 7.4980 2.166e-13 ***
lgdp_sq 2.9932e+00 6.2166e-01 4.8148 1.840e-06 ***
avg_temp 3.7837e-01 1.0847e-01 3.4883 0.0005194 ***
idCalifornia 2.1585e+00 1.1394e-01 18.9433 < 2.2e-16 ***
idColorado 3.3366e-01 8.5896e-02 3.8844 0.0001132 ***
idConnecticut 9.4782e-01 1.1834e-01 8.0092 5.454e-15 ***
idDelaware -1.3677e-01 9.6478e-02 -1.4177 0.1567746
idDistrictofColumbia -1.5768e+00 1.4406e-01 -10.9458 < 2.2e-16 ***
idFlorida 4.2179e-01 8.6296e-02 4.8877 1.290e-06 ***
idGeorgia -2.3680e-01 8.5563e-02 -2.7675 0.0058120 **
idIdaho -1.4756e+00 1.0221e-01 -14.4366 < 2.2e-16 ***
idIllinois 4.3647e-01 8.6536e-02 5.0438 5.948e-07 ***
idIndiana -6.6960e-01 8.8718e-02 -7.5476 1.529e-13 ***
idIowa -2.4516e+00 2.8797e-01 -8.5134 < 2.2e-16 ***
idKentucky -1.5807e+00 1.0645e-01 -14.8484 < 2.2e-16 ***
idMaryland -3.4822e-01 8.6296e-02 -4.0352 6.114e-05 ***
idMassachusetts 1.0790e+00 9.3199e-02 11.5770 < 2.2e-16 ***
idMichigan 6.3621e-01 8.8118e-02 7.2200 1.478e-12 ***
idMinnesota 2.3020e-01 8.5633e-02 2.6883 0.0073691 **
idMissouri -9.1703e-01 9.3712e-02 -9.7856 < 2.2e-16 ***
idNevada -7.7830e-01 1.0483e-01 -7.4247 3.615e-13 ***
idNewHampshire -7.9783e-01 8.9359e-02 -8.9283 < 2.2e-16 ***
idNewJersey 3.1706e-01 8.5917e-02 3.6903 0.0002431 ***
idNewMexico -6.6634e-01 8.8445e-02 -7.5339 1.683e-13 ***
idNewYork 1.2904e+00 9.6745e-02 13.3377 < 2.2e-16 ***
idNorthCarolina 3.2694e-01 8.5915e-02 3.8053 0.0001552 ***
idOhio 6.4167e-01 8.8378e-02 7.2604 1.121e-12 ***
idOklahoma -1.1907e+00 9.5917e-02 -12.4140 < 2.2e-16 ***
idOregon 4.3654e-01 1.6921e-01 2.5798 0.0101061 *
idPennsylvania 7.0132e-01 8.8785e-02 7.8991 1.225e-14 ***
idRhodeIsland -5.6459e-01 1.7129e-01 -3.2961 0.0010344 **
idSouthCarolina -5.4446e-01 1.2071e-01 -4.5106 7.690e-06 ***
idTennessee -8.2337e-01 9.2375e-02 -8.9134 < 2.2e-16 ***
idTexas 8.4268e-01 9.0132e-02 9.3495 < 2.2e-16 ***
idUtah -9.1510e-01 9.2957e-02 -9.8442 < 2.2e-16 ***
idVirginia 3.8397e-03 8.6415e-02 0.0444 0.9645731
idWashington 2.2403e-01 8.5509e-02 2.6200 0.0090011 **
idWisconsin 8.8965e-03 8.5241e-02 0.1044 0.9169088
time2001 1.7157e+01 3.3272e+00 5.1565 3.356e-07 ***
time2002 1.6224e+01 3.1066e+00 5.2223 2.392e-07 ***
time2003 1.6145e+01 2.9175e+00 5.5338 4.572e-08 ***
time2004 1.5827e+01 2.8433e+00 5.5663 3.827e-08 ***
time2005 1.5146e+01 2.5166e+00 6.0186 2.961e-09 ***
time2006 1.3663e+01 2.1861e+00 6.2496 7.504e-10 ***
time2007 1.2408e+01 1.8998e+00 6.5310 1.331e-10 ***
time2008 1.0580e+01 1.7198e+00 6.1517 1.350e-09 ***
time2009 5.9239e+00 1.2668e+00 4.6763 3.564e-06 ***
time2010 5.5441e+00 1.2297e+00 4.5086 7.759e-06 ***
time2011 5.3350e+00 1.1579e+00 4.6073 4.923e-06 ***
time2012 4.0598e+00 8.4154e-01 4.8242 1.758e-06 ***
time2013 3.6668e+00 8.7296e-01 4.2005 3.041e-05 ***
time2014 1.5855e+00 5.0970e-01 3.1107 0.0019493 **
time2015 1.0528e+00 4.0008e-01 2.6315 0.0087045 **
time2016 2.2733e-01 2.1479e-01 1.0584 0.2902919
iis104 -1.4019e+00 2.9568e-01 -4.7414 2.617e-06 ***
iis108 -1.0502e+00 3.4029e-01 -3.0861 0.0021155 **
iis161 -1.2150e+00 2.8124e-01 -4.3200 1.808e-05 ***
iis222 9.8110e-01 2.8238e-01 3.4744 0.0005465 ***
iis241 -1.0588e+00 2.8172e-01 -3.7583 0.0001867 ***
iis246 -1.5146e+00 2.8091e-01 -5.3919 9.816e-08 ***
iis341 -1.4518e+00 2.8111e-01 -5.1647 3.219e-07 ***
iis378 -8.3898e-01 2.9547e-01 -2.8395 0.0046615 **
iis603 -1.1727e+00 2.8062e-01 -4.1789 3.336e-05 ***
iis659 -1.0439e+00 2.8064e-01 -3.7199 0.0002168 ***
iis661 -1.1536e+00 2.8122e-01 -4.1022 4.619e-05 ***
fesisConnecticut.2009 -5.8740e-01 1.2659e-01 -4.6401 4.224e-06 ***
fesisDelaware.2014 -8.0565e-01 1.3712e-01 -5.8757 6.769e-09 ***
fesisDelaware.2020 -1.1179e+00 2.9537e-01 -3.7847 0.0001683 ***
fesisDistrictofColumbia.2008 -8.4860e-01 2.2585e-01 -3.7575 0.0001873 ***
fesisDistrictofColumbia.2011 1.0535e+00 2.1766e-01 4.8401 1.628e-06 ***
fesisIowa.2002 8.9895e-01 2.8177e-01 3.1904 0.0014902 **
fesisNevada.2012 -5.3908e-01 1.4039e-01 -3.8398 0.0001353 ***
fesisNevada.2019 9.6545e-01 2.2337e-01 4.3223 1.790e-05 ***
fesisOregon.2004 -7.3293e-01 1.7276e-01 -4.2425 2.537e-05 ***
fesisRhodeIsland.2004 -8.1414e-01 1.7413e-01 -4.6756 3.576e-06 ***
fesisRhodeIsland.2019 -7.4687e-01 2.0671e-01 -3.6131 0.0003263 ***
fesisSouthCarolina.2008 7.8447e-01 1.3079e-01 5.9978 3.342e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.70269 1 0.4019
Ljung-Box ARCH(1) 1.29751 1 0.2547
SE of regression 0.26952
R-squared 0.94680
Log-lik.(n=720) -38.14395 0.05
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:14:01 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.010941 0.026082 0.4195 0.6749635
lgdp 53.327528 3.233205 16.4937 < 2.2e-16 ***
lpop -41.365939 1.983414 -20.8559 < 2.2e-16 ***
lgdp_sq -1.936686 0.192007 -10.0865 < 2.2e-16 ***
avg_temp -0.154836 0.077038 -2.0099 0.0447571 *
idAlaska -0.231492 0.258842 -0.8943 0.3713917
idArizona 2.642537 0.235573 11.2175 < 2.2e-16 ***
idArkansas 1.366884 0.309439 4.4173 1.127e-05 ***
idCalifornia 4.931192 0.255462 19.3030 < 2.2e-16 ***
idColorado 2.994564 0.237566 12.6052 < 2.2e-16 ***
idConnecticut 3.646513 0.256408 14.2215 < 2.2e-16 ***
idDelaware 2.494535 0.239815 10.4019 < 2.2e-16 ***
idDistrictofColumbia 0.942524 0.252011 3.7400 0.0001962 ***
idFlorida 3.087603 0.238145 12.9652 < 2.2e-16 ***
idGeorgia 2.392773 0.234340 10.2107 < 2.2e-16 ***
idHawaii 1.104609 0.244325 4.5211 7.013e-06 ***
idIdaho -0.136241 0.377284 -0.3611 0.7181058
idIllinois 3.104788 0.238449 13.0207 < 2.2e-16 ***
idIndiana 1.930542 0.232089 8.3181 3.471e-16 ***
idIowa 0.098346 0.377286 0.2607 0.7944122
idKansas 0.800703 0.232657 3.4416 0.0006062 ***
idKentucky 0.902225 0.230447 3.9151 9.750e-05 ***
idLouisiana 0.940935 0.239671 3.9259 9.329e-05 ***
idMaine 0.784769 0.244350 3.2117 0.0013686 **
idMaryland 2.271047 0.233466 9.7275 < 2.2e-16 ***
idMassachusetts 3.786413 0.243857 15.5272 < 2.2e-16 ***
idMichigan 3.317259 0.240074 13.8177 < 2.2e-16 ***
idMinnesota 2.887000 0.237095 12.1765 < 2.2e-16 ***
idMississippi -0.209058 0.254126 -0.8227 0.4109323
idMissouri 1.661872 0.231785 7.1699 1.615e-12 ***
idMontana 0.049370 0.230955 0.2138 0.8307804
idNebraska 0.862260 0.377521 2.2840 0.0226134 *
idNevada 1.815742 0.239831 7.5709 9.531e-14 ***
idNewHampshire 1.798500 0.231854 7.7570 2.452e-14 ***
idNewJersey 2.978251 0.237599 12.5348 < 2.2e-16 ***
idNewMexico 1.935533 0.232200 8.3356 3.027e-16 ***
idNewYork 4.011687 0.246064 16.3034 < 2.2e-16 ***
idNorthCarolina 2.988102 0.237596 12.5764 < 2.2e-16 ***
idNorthDakota -0.181824 0.258853 -0.7024 0.4826056
idOhio 3.324441 0.240305 13.8343 < 2.2e-16 ***
idOklahoma 1.376099 0.230477 5.9707 3.451e-09 ***
idOregon 2.444079 0.234427 10.4258 < 2.2e-16 ***
idPennsylvania 3.386666 0.240652 14.0729 < 2.2e-16 ***
idRhodeIsland 1.925693 0.268778 7.1646 1.674e-12 ***
idSouthCarolina 2.066010 0.250341 8.2528 5.771e-16 ***
idSouthDakota -0.228190 0.258900 -0.8814 0.3783567
idTennessee 1.764967 0.231817 7.6136 6.996e-14 ***
idTexas 3.535682 0.241718 14.6273 < 2.2e-16 ***
idUtah 1.616545 0.231175 6.9927 5.405e-12 ***
idVermont 0.737011 0.244842 3.0102 0.0026873 **
idVirginia 1.496078 0.379694 3.9402 8.799e-05 ***
idWashington 2.878436 0.236827 12.1541 < 2.2e-16 ***
idWestVirginia 0.177580 0.236762 0.7500 0.4534370
idWisconsin 2.649191 0.235350 11.2564 < 2.2e-16 ***
idWyoming 0.352556 0.232440 1.5168 0.1296926
time2001 -2.996700 0.499419 -6.0004 2.896e-09 ***
time2002 -2.824583 0.463551 -6.0934 1.665e-09 ***
time2003 -2.892503 0.401517 -7.2039 1.276e-12 ***
time2004 -2.962454 0.286930 -10.3247 < 2.2e-16 ***
time2005 -2.679745 0.220103 -12.1750 < 2.2e-16 ***
time2006 -1.909146 0.178102 -10.7194 < 2.2e-16 ***
time2007 -1.368130 0.154215 -8.8716 < 2.2e-16 ***
time2008 -1.077149 0.187964 -5.7306 1.383e-08 ***
time2009 -0.341627 0.222091 -1.5382 0.1243595
time2010 -0.244407 0.198897 -1.2288 0.2194759
time2011 -0.077996 0.145904 -0.5346 0.5930867
time2012 0.137050 0.133285 1.0283 0.3041192
time2013 -0.215701 0.176704 -1.2207 0.2225379
time2014 -0.453714 0.214903 -2.1112 0.0350386 *
time2015 0.069528 0.103976 0.6687 0.5038669
time2016 0.068111 0.095061 0.7165 0.4738738
iis4 -1.194503 0.321385 -3.7167 0.0002148 ***
iis10 -1.241798 0.321091 -3.8674 0.0001183 ***
iis17 -1.460328 0.321446 -4.5430 6.336e-06 ***
iis23 0.871269 0.339974 2.5628 0.0105534 *
iis62 -1.885034 0.382873 -4.9234 1.019e-06 ***
iis63 -1.594420 0.380000 -4.1958 3.000e-05 ***
iis64 -1.626769 0.380005 -4.2809 2.070e-05 ***
iis66 -1.805881 0.328147 -5.5033 4.918e-08 ***
iis67 -1.479730 0.328401 -4.5059 7.522e-06 ***
iis68 -1.469739 0.327655 -4.4856 8.254e-06 ***
iis75 -1.553012 0.326972 -4.7497 2.386e-06 ***
iis77 -1.042545 0.327518 -3.1832 0.0015090 **
iis79 -1.617845 0.327888 -4.9341 9.662e-07 ***
iis164 -1.344912 0.335303 -4.0110 6.570e-05 ***
iis168 -1.161611 0.360842 -3.2192 0.0013337 **
iis235 -1.349813 0.328917 -4.1038 4.450e-05 ***
iis236 1.262582 0.330634 3.8187 0.0001438 ***
iis237 -1.215294 0.330841 -3.6733 0.0002542 ***
iis238 -1.498371 0.330353 -4.5357 6.555e-06 ***
iis322 -0.980052 0.319980 -3.0629 0.0022605 **
iis326 -0.923241 0.319890 -2.8861 0.0039976 **
iis331 -1.049045 0.319753 -3.2808 0.0010767 **
iis346 -1.447706 0.318412 -4.5466 6.230e-06 ***
iis379 0.825636 0.339785 2.4299 0.0153072 *
iis384 -1.235789 0.329149 -3.7545 0.0001853 ***
iis390 -1.291813 0.325413 -3.9698 7.794e-05 ***
iis481 1.029056 0.335289 3.0692 0.0022138 **
iis482 1.664551 0.335980 4.9543 8.736e-07 ***
iis483 1.512428 0.337307 4.4838 8.322e-06 ***
iis493 -0.677770 0.326873 -2.0735 0.0384224 *
iis501 -1.429499 0.318588 -4.4870 8.203e-06 ***
iis531 1.031504 0.318324 3.2404 0.0012393 **
iis548 -1.406792 0.342128 -4.1119 4.300e-05 ***
iis550 -1.215360 0.339931 -3.5753 0.0003693 ***
iis578 -0.814970 0.335150 -2.4317 0.0152327 *
iis687 -1.120162 0.325429 -3.4421 0.0006050 ***
iis691 -0.982037 0.324011 -3.0309 0.0025114 **
iis817 0.652858 0.322975 2.0214 0.0435482 *
iis824 1.625295 0.339889 4.7818 2.042e-06 ***
iis826 -0.710780 0.339918 -2.0910 0.0368175 *
iis829 1.019642 0.328870 3.1004 0.0019952 **
iis837 0.648232 0.329459 1.9676 0.0494386 *
iis839 -1.074236 0.379904 -2.8276 0.0047978 **
iis843 -1.224507 0.318358 -3.8463 0.0001287 ***
iis902 -1.062725 0.329134 -3.2289 0.0012899 **
iis973 -0.871061 0.336273 -2.5903 0.0097500 **
iis976 -0.761556 0.334963 -2.2736 0.0232379 *
fesisAlabama.2003 0.999479 0.234823 4.2563 2.306e-05 ***
fesisAlabama.2020 -0.822472 0.322538 -2.5500 0.0109444 *
fesisAlaska.2007 -1.041748 0.183687 -5.6713 1.934e-08 ***
fesisAlaska.2014 0.769432 0.166191 4.6298 4.223e-06 ***
fesisArkansas.2006 -0.570626 0.242976 -2.3485 0.0190747 *
fesisConnecticut.2009 -0.619621 0.142865 -4.3371 1.614e-05 ***
fesisDelaware.2014 -0.835838 0.154493 -5.4102 8.161e-08 ***
fesisDelaware.2020 -1.154875 0.335277 -3.4445 0.0005996 ***
fesisDistrictofColumbia.2008 -0.694550 0.220761 -3.1462 0.0017111 **
fesisDistrictofColumbia.2012 0.991412 0.210622 4.7071 2.927e-06 ***
fesisHawaii.2009 -0.591271 0.155839 -3.7941 0.0001585 ***
fesisIdaho.2002 1.208043 0.318680 3.7908 0.0001606 ***
fesisIowa.2002 1.839494 0.439033 4.1899 3.079e-05 ***
fesisIowa.2003 -0.942205 0.319772 -2.9465 0.0033006 **
fesisKansas.2020 1.004970 0.320089 3.1397 0.0017491 **
fesisLouisiana.2011 -0.829189 0.184787 -4.4873 8.192e-06 ***
fesisLouisiana.2015 0.900718 0.209212 4.3053 1.859e-05 ***
fesisMaine.2010 0.343333 0.148065 2.3188 0.0206395 *
fesisMississippi.2010 -0.412281 0.164606 -2.5047 0.0124408 *
fesisMississippi.2020 1.669431 0.327217 5.1019 4.137e-07 ***
fesisNebraska.2002 -1.338563 0.358413 -3.7347 0.0002003 ***
fesisNebraska.2005 0.882262 0.226795 3.8901 0.0001079 ***
fesisNebraska.2012 0.455331 0.189684 2.4005 0.0165850 *
fesisNebraska.2018 -0.986363 0.335415 -2.9407 0.0033620 **
fesisNebraska.2019 1.397238 0.380204 3.6750 0.0002526 ***
fesisNevada.2012 -0.567551 0.158555 -3.5795 0.0003635 ***
fesisNevada.2019 0.969530 0.253414 3.8259 0.0001397 ***
fesisNorthDakota.2006 1.122952 0.340254 3.3003 0.0010054 **
fesisNorthDakota.2007 -1.006774 0.324425 -3.1033 0.0019764 **
fesisNorthDakota.2020 0.958434 0.324278 2.9556 0.0032057 **
fesisRhodeIsland.2005 -0.865793 0.175075 -4.9453 9.141e-07 ***
fesisSouthCarolina.2008 0.777576 0.149219 5.2110 2.352e-07 ***
fesisSouthDakota.2008 1.044951 0.179016 5.8372 7.512e-09 ***
fesisSouthDakota.2018 -0.556060 0.245793 -2.2623 0.0239261 *
fesisVermont.2010 0.646835 0.210450 3.0736 0.0021817 **
fesisVermont.2013 -0.947193 0.210535 -4.4990 7.764e-06 ***
fesisVirginia.2002 1.145069 0.318663 3.5934 0.0003449 ***
fesisWestVirginia.2013 -0.370516 0.156497 -2.3676 0.0181260 *
fesisWyoming.2017 -1.048488 0.197166 -5.3178 1.339e-07 ***
fesisWyoming.2020 1.991781 0.358521 5.5556 3.688e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.098093 1 0.7541
Ljung-Box ARCH(1) 1.746387 1 0.1863
SE of regression 0.30691
R-squared 0.96091
Log-lik.(n=1020) -163.50330 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:18:14 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.035553 0.026891 1.3221 0.1865362
lgdp 56.730970 3.210324 17.6714 < 2.2e-16 ***
lpop -44.346658 1.933041 -22.9414 < 2.2e-16 ***
lgdp_sq -2.052466 0.193273 -10.6195 < 2.2e-16 ***
avg_temp -0.139002 0.078196 -1.7776 0.0758654 .
idArizona 2.580602 0.224036 11.5187 < 2.2e-16 ***
idArkansas -0.329833 0.267340 -1.2338 0.2176695
idCalifornia 4.812694 0.246007 19.5633 < 2.2e-16 ***
idColorado 2.924646 0.226244 12.9270 < 2.2e-16 ***
idConnecticut 3.570688 0.244897 14.5804 < 2.2e-16 ***
idDelaware 2.443175 0.227920 10.7194 < 2.2e-16 ***
idDistrictofColumbia 0.807691 0.231566 3.4880 0.0005144 ***
idFlorida 3.015556 0.226886 13.2910 < 2.2e-16 ***
idGeorgia 2.336472 0.222669 10.4930 < 2.2e-16 ***
idHawaii 1.098021 0.231385 4.7454 2.481e-06 ***
idIdaho 1.051135 0.218684 4.8066 1.847e-06 ***
idIllinois 3.031652 0.227223 13.3422 < 2.2e-16 ***
idIndiana 1.887027 0.220176 8.5705 < 2.2e-16 ***
idIowa 0.078082 0.357150 0.2186 0.8270000
idKansas 0.779482 0.220414 3.5364 0.0004299 ***
idKentucky 0.883088 0.218295 4.0454 5.752e-05 ***
idLouisiana 0.932393 0.227019 4.1071 4.436e-05 ***
idMaine 0.960716 0.218818 4.3905 1.290e-05 ***
idMaryland 2.219221 0.221700 10.0100 < 2.2e-16 ***
idMassachusetts 3.696274 0.233209 15.8496 < 2.2e-16 ***
idMichigan 3.238590 0.229023 14.1409 < 2.2e-16 ***
idMinnesota 2.818868 0.225722 12.4882 < 2.2e-16 ***
idMissouri 1.627513 0.219738 7.4066 3.417e-13 ***
idNebraska 0.520605 0.267708 1.9447 0.0521791 .
idNevada 1.783925 0.227507 7.8412 1.492e-14 ***
idNewHampshire 1.756644 0.219916 7.9878 5.019e-15 ***
idNewJersey 2.908209 0.226281 12.8522 < 2.2e-16 ***
idNewMexico 1.891269 0.220299 8.5850 < 2.2e-16 ***
idNewYork 3.915515 0.235649 16.6159 < 2.2e-16 ***
idNorthCarolina 2.918072 0.226277 12.8960 < 2.2e-16 ***
idOhio 3.245022 0.229278 14.1532 < 2.2e-16 ***
idOklahoma 1.347071 0.218400 6.1679 1.118e-09 ***
idOregon 2.773221 0.299955 9.2454 < 2.2e-16 ***
idPennsylvania 3.306129 0.229663 14.3956 < 2.2e-16 ***
idRhodeIsland 1.885696 0.254797 7.4008 3.560e-13 ***
idSouthCarolina 2.026349 0.237541 8.5305 < 2.2e-16 ***
idSouthDakota -0.213948 0.245251 -0.8724 0.3832838
idTennessee 1.727424 0.219790 7.8594 1.304e-14 ***
idTexas 3.451820 0.230843 14.9531 < 2.2e-16 ***
idUtah 1.580115 0.219167 7.2097 1.345e-12 ***
idVermont 0.290810 0.252706 1.1508 0.2501791
idVirginia 1.434143 0.359960 3.9842 7.416e-05 ***
idWashington 2.811345 0.225426 12.4713 < 2.2e-16 ***
idWisconsin 2.588230 0.223788 11.5656 < 2.2e-16 ***
time2001 -3.090748 0.505646 -6.1125 1.560e-09 ***
time2002 -2.978320 0.469005 -6.3503 3.676e-10 ***
time2003 -3.007880 0.406096 -7.4068 3.411e-13 ***
time2004 -3.094820 0.289307 -10.6974 < 2.2e-16 ***
time2005 -2.785218 0.220865 -12.6105 < 2.2e-16 ***
time2006 -2.084188 0.178317 -11.6881 < 2.2e-16 ***
time2007 -1.537873 0.154608 -9.9469 < 2.2e-16 ***
time2008 -1.172483 0.189937 -6.1730 1.084e-09 ***
time2009 -0.387966 0.224859 -1.7254 0.0848621 .
time2010 -0.274437 0.201618 -1.3612 0.1738580
time2011 -0.116800 0.147239 -0.7933 0.4278663
time2012 0.116868 0.135092 0.8651 0.3872554
time2013 -0.223509 0.178808 -1.2500 0.2116819
time2014 -0.430761 0.217895 -1.9769 0.0484087 *
time2015 0.078426 0.105416 0.7440 0.4571215
time2016 0.056193 0.096020 0.5852 0.5585678
iis4 -1.213253 0.304638 -3.9826 7.464e-05 ***
iis10 -1.234259 0.304336 -4.0556 5.512e-05 ***
iis17 -1.496039 0.304644 -4.9108 1.109e-06 ***
iis41 1.873925 0.339734 5.5159 4.745e-08 ***
iis46 -1.827001 0.312590 -5.8447 7.498e-09 ***
iis47 -1.438179 0.313416 -4.5887 5.208e-06 ***
iis48 -1.455656 0.312693 -4.6552 3.812e-06 ***
iis55 -1.624249 0.311678 -5.2113 2.412e-07 ***
iis59 -1.716289 0.362690 -4.7321 2.645e-06 ***
iis144 -1.244447 0.312448 -3.9829 7.455e-05 ***
iis148 -1.722568 0.313013 -5.5032 5.086e-08 ***
iis150 -0.796735 0.311969 -2.5539 0.0108447 *
iis215 -1.380284 0.311634 -4.4292 1.083e-05 ***
iis216 1.271216 0.313430 4.0558 5.506e-05 ***
iis217 -1.276178 0.313827 -4.0665 5.265e-05 ***
iis218 -1.491619 0.313289 -4.7612 2.301e-06 ***
iis221 -1.209531 0.301964 -4.0056 6.789e-05 ***
iis282 1.000436 0.303141 3.3002 0.0010106 **
iis302 -0.933679 0.303172 -3.0797 0.0021459 **
iis306 -0.875796 0.303067 -2.8898 0.0039638 **
iis311 -1.040953 0.302792 -3.4378 0.0006179 ***
iis326 -1.405463 0.301672 -4.6589 3.746e-06 ***
iis359 0.801648 0.321976 2.4898 0.0129928 *
iis364 -1.428824 0.302406 -4.7248 2.738e-06 ***
iis370 -1.142772 0.302322 -3.7800 0.0001690 ***
iis461 -1.437686 0.301894 -4.7622 2.289e-06 ***
iis482 -0.904123 0.340274 -2.6570 0.0080466 **
iis483 -1.059623 0.339495 -3.1212 0.0018688 **
iis484 -0.988871 0.339913 -2.9092 0.0037284 **
iis488 -1.423566 0.319330 -4.4580 9.507e-06 ***
iis490 -1.224156 0.317525 -3.8553 0.0001253 ***
iis498 -1.472905 0.328708 -4.4809 8.565e-06 ***
iis518 -0.823257 0.317570 -2.5924 0.0097131 **
iis662 0.780000 0.360487 2.1637 0.0307921 *
iis737 0.626846 0.306063 2.0481 0.0408903 *
iis744 1.603813 0.322105 4.9792 7.890e-07 ***
iis746 -0.684960 0.322043 -2.1269 0.0337450 *
iis757 0.880462 0.312083 2.8212 0.0049073 **
iis759 -1.405348 0.311915 -4.5055 7.651e-06 ***
iis763 -1.218805 0.301562 -4.0416 5.843e-05 ***
fesisAlabama.2003 0.985186 0.222516 4.4275 1.092e-05 ***
fesisAlabama.2020 -0.786869 0.305526 -2.5755 0.0101968 *
fesisArkansas.2005 1.160586 0.199239 5.8251 8.392e-09 ***
fesisArkansas.2017 -1.121135 0.312210 -3.5910 0.0003504 ***
fesisArkansas.2018 1.128268 0.361973 3.1170 0.0018951 **
fesisConnecticut.2009 -0.623134 0.135533 -4.5976 4.995e-06 ***
fesisDelaware.2014 -1.001681 0.139468 -7.1821 1.624e-12 ***
fesisDistrictofColumbia.2012 0.392594 0.144864 2.7101 0.0068766 **
fesisHawaii.2009 -0.590368 0.147731 -3.9962 7.056e-05 ***
fesisIowa.2002 0.894321 0.302473 2.9567 0.0032048 **
fesisKansas.2020 1.076374 0.303063 3.5516 0.0004062 ***
fesisLouisiana.2011 -0.833478 0.175367 -4.7528 2.395e-06 ***
fesisLouisiana.2015 0.883772 0.198435 4.4537 9.693e-06 ***
fesisNebraska.2007 0.685191 0.339373 2.0190 0.0438352 *
fesisNebraska.2008 -0.780235 0.317588 -2.4568 0.0142400 *
fesisNebraska.2016 0.875174 0.191442 4.5715 5.643e-06 ***
fesisNevada.2012 -0.583470 0.150421 -3.8789 0.0001139 ***
fesisNevada.2019 1.003552 0.240051 4.1806 3.242e-05 ***
fesisOregon.2004 -0.499833 0.221254 -2.2591 0.0241574 *
fesisRhodeIsland.2005 -0.762386 0.168332 -4.5291 6.866e-06 ***
fesisRhodeIsland.2019 -0.706919 0.222586 -3.1759 0.0015533 **
fesisSouthCarolina.2008 0.747916 0.141439 5.2879 1.614e-07 ***
fesisSouthDakota.2008 1.649704 0.216204 7.6303 6.945e-14 ***
fesisSouthDakota.2011 -0.882646 0.199057 -4.4341 1.059e-05 ***
fesisVermont.2005 0.767726 0.180945 4.2429 2.476e-05 ***
fesisVermont.2013 -0.642603 0.147588 -4.3540 1.518e-05 ***
fesisVirginia.2002 1.147265 0.301948 3.7995 0.0001564 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00097541 1 0.9751
Ljung-Box ARCH(1) 0.00161584 1 0.9679
SE of regression 0.29040
R-squared 0.95696
Log-lik.(n=900) -98.19093 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:17:53 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 9.2476e-02 3.1762e-02 2.9116 0.0037243 **
lgdp -1.1896e+02 1.7681e+01 -6.7282 3.883e-11 ***
lpop 1.1152e+02 1.3836e+01 8.0601 3.875e-15 ***
lgdp_sq 3.0853e+00 5.9405e-01 5.1936 2.794e-07 ***
avg_temp 3.9959e-01 1.0329e-01 3.8688 0.0001208 ***
idCalifornia 2.1013e+00 1.0891e-01 19.2941 < 2.2e-16 ***
idColorado 3.2558e-01 8.1477e-02 3.9960 7.209e-05 ***
idConnecticut 9.2608e-01 1.1243e-01 8.2368 1.035e-15 ***
idDelaware -1.3875e-01 9.1528e-02 -1.5159 0.1300406
idDistrictofColumbia -1.5217e+00 1.3717e-01 -11.0940 < 2.2e-16 ***
idFlorida 4.1157e-01 8.1870e-02 5.0271 6.510e-07 ***
idGeorgia -2.3110e-01 8.1150e-02 -2.8478 0.0045474 **
idIdaho -1.4355e+00 9.7450e-02 -14.7302 < 2.2e-16 ***
idIllinois 4.2514e-01 8.2106e-02 5.1780 3.027e-07 ***
idIndiana -6.5097e-01 8.4247e-02 -7.7269 4.398e-14 ***
idIowa -2.1186e+00 1.9715e-01 -10.7462 < 2.2e-16 ***
idKentucky -1.5371e+00 1.0155e-01 -15.1362 < 2.2e-16 ***
idMaryland -3.3800e-01 8.1870e-02 -4.1285 4.147e-05 ***
idMassachusetts 1.0504e+00 8.8641e-02 11.8506 < 2.2e-16 ***
idMichigan 6.1929e-01 8.3659e-02 7.4025 4.328e-13 ***
idMinnesota 2.2394e-01 8.1218e-02 2.7572 0.0059997 **
idMissouri -8.9075e-01 8.9125e-02 -9.9944 < 2.2e-16 ***
idNevada -7.6424e-01 9.9569e-02 -7.6754 6.355e-14 ***
idNewHampshire -7.3856e-01 8.5997e-02 -8.5882 < 2.2e-16 ***
idNewJersey 3.0886e-01 8.1498e-02 3.7898 0.0001654 ***
idNewMexico -4.9946e-01 1.0904e-01 -4.5804 5.602e-06 ***
idNewYork 1.2557e+00 9.2112e-02 13.6326 < 2.2e-16 ***
idNorthCarolina 3.1875e-01 8.1496e-02 3.9112 0.0001019 ***
idOhio 6.2398e-01 8.3914e-02 7.4360 3.431e-13 ***
idOklahoma -1.1574e+00 9.1301e-02 -12.6769 < 2.2e-16 ***
idOregon 1.7543e-01 1.9291e-01 0.9094 0.3634819
idPennsylvania 6.8250e-01 8.4313e-02 8.0949 2.994e-15 ***
idRhodeIsland -5.3893e-01 1.6252e-01 -3.3161 0.0009657 ***
idSouthCarolina 9.0281e-02 2.6652e-01 0.3387 0.7349220
idTennessee -7.9728e-01 8.7806e-02 -9.0800 < 2.2e-16 ***
idTexas 8.2050e-01 8.5634e-02 9.5816 < 2.2e-16 ***
idUtah -8.4785e-01 8.9589e-02 -9.4638 < 2.2e-16 ***
idVirginia 4.4453e-03 8.1950e-02 0.0542 0.9567579
idWashington 2.1882e-01 8.1097e-02 2.6983 0.0071584 **
idWisconsin -1.3499e-01 9.1520e-02 -1.4750 0.1407251
time2001 1.7669e+01 3.1786e+00 5.5588 4.024e-08 ***
time2002 1.6713e+01 2.9678e+00 5.6317 2.697e-08 ***
time2003 1.6648e+01 2.7865e+00 5.9745 3.873e-09 ***
time2004 1.6293e+01 2.7148e+00 6.0015 3.310e-09 ***
time2005 1.5589e+01 2.4020e+00 6.4898 1.749e-10 ***
time2006 1.4031e+01 2.0863e+00 6.7253 3.956e-11 ***
time2007 1.2748e+01 1.8128e+00 7.0322 5.339e-12 ***
time2008 1.0883e+01 1.6415e+00 6.6299 7.264e-11 ***
time2009 6.1533e+00 1.2117e+00 5.0784 5.029e-07 ***
time2010 5.7445e+00 1.1760e+00 4.8846 1.318e-06 ***
time2011 5.5280e+00 1.1072e+00 4.9926 7.735e-07 ***
time2012 4.1773e+00 8.0542e-01 5.1865 2.898e-07 ***
time2013 3.8121e+00 8.3521e-01 4.5642 6.037e-06 ***
time2014 1.6734e+00 4.8902e-01 3.4219 0.0006624 ***
time2015 1.0880e+00 3.8372e-01 2.8355 0.0047239 **
time2016 2.5662e-01 2.0672e-01 1.2414 0.2149091
iis104 -1.4023e+00 2.8049e-01 -4.9993 7.480e-07 ***
iis108 -1.0668e+00 3.2299e-01 -3.3029 0.0010114 **
iis161 -1.1841e+00 2.6678e-01 -4.4386 1.070e-05 ***
iis222 1.6233e+00 3.1973e-01 5.0772 5.059e-07 ***
iis241 -1.0421e+00 2.6730e-01 -3.8985 0.0001073 ***
iis246 -1.4944e+00 2.6652e-01 -5.6072 3.087e-08 ***
iis341 -1.4278e+00 2.6668e-01 -5.3539 1.210e-07 ***
iis373 -5.8698e-01 2.8989e-01 -2.0249 0.0433041 *
iis374 -5.8662e-01 2.9036e-01 -2.0203 0.0437746 *
iis378 -1.8368e+00 3.1782e-01 -5.7795 1.182e-08 ***
iis389 -7.7915e-01 2.6612e-01 -2.9278 0.0035376 **
iis522 7.7164e-01 3.1835e-01 2.4239 0.0156368 *
iis566 7.1272e-01 2.6774e-01 2.6620 0.0079672 **
iis597 6.4387e-01 2.6996e-01 2.3850 0.0173748 *
iis603 -1.1953e+00 2.6620e-01 -4.4903 8.468e-06 ***
iis656 -8.1512e-01 2.6650e-01 -3.0586 0.0023188 **
iis659 -1.0578e+00 2.6653e-01 -3.9687 8.065e-05 ***
iis661 -1.1235e+00 2.6676e-01 -4.2117 2.907e-05 ***
fesisConnecticut.2009 -5.7812e-01 1.2022e-01 -4.8091 1.901e-06 ***
fesisDelaware.2014 -7.7432e-01 1.3016e-01 -5.9489 4.492e-09 ***
fesisDelaware.2020 -1.0898e+00 2.8009e-01 -3.8910 0.0001105 ***
fesisDistrictofColumbia.2008 -8.5926e-01 2.1443e-01 -4.0072 6.884e-05 ***
fesisDistrictofColumbia.2011 1.0727e+00 2.3937e-01 4.4812 8.827e-06 ***
fesisDistrictofColumbia.2014 -7.4222e-01 3.0044e-01 -2.4704 0.0137601 *
fesisDistrictofColumbia.2015 1.1139e+00 3.1793e-01 3.5037 0.0004915 ***
fesisDistrictofColumbia.2017 -1.0802e+00 3.1840e-01 -3.3925 0.0007363 ***
fesisDistrictofColumbia.2018 8.7675e-01 2.9980e-01 2.9245 0.0035753 **
fesisIowa.2004 1.2521e+00 3.1833e-01 3.9333 9.317e-05 ***
fesisIowa.2005 -6.6639e-01 2.6751e-01 -2.4911 0.0129927 *
fesisNevada.2012 -3.2510e-01 1.5260e-01 -2.1305 0.0335201 *
fesisNevada.2018 8.0673e-01 2.2469e-01 3.5904 0.0003561 ***
fesisNewMexico.2009 -6.3415e-01 1.7613e-01 -3.6004 0.0003429 ***
fesisNewMexico.2012 5.1441e-01 1.7301e-01 2.9733 0.0030592 **
fesisOregon.2004 -4.6493e-01 1.9612e-01 -2.3706 0.0180622 *
fesisRhodeIsland.2004 -9.3370e-01 1.6459e-01 -5.6728 2.148e-08 ***
fesisSouthCarolina.2002 -7.1890e-01 2.8058e-01 -2.5622 0.0106335 *
fesisSouthCarolina.2008 8.1175e-01 1.3204e-01 6.1480 1.398e-09 ***
fesisWisconsin.2014 4.1392e-01 1.2230e-01 3.3844 0.0007578 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.9048795 1 0.1675
Ljung-Box ARCH(1) 0.0030449 1 0.9560
SE of regression 0.25559
R-squared 0.95328
Log-lik.(n=720) 7.58467 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:02:04 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0340103 0.0292850 1.1614 0.2458010
lgdp 43.7263263 3.0635825 14.2729 < 2.2e-16 ***
lpop -34.6166241 1.8818116 -18.3954 < 2.2e-16 ***
lgdp_sq -1.5677954 0.1825802 -8.5869 < 2.2e-16 ***
avg_temp -0.0751846 0.0745140 -1.0090 0.3132418
idAlaska -0.5180913 0.1441149 -3.5950 0.0003418 ***
idArizona 1.6678845 0.1086957 15.3445 < 2.2e-16 ***
idArkansas 0.7656132 0.3161752 2.4215 0.0156513 *
idCalifornia 3.8523607 0.1508034 25.5456 < 2.2e-16 ***
idColorado 1.9961434 0.1131794 17.6370 < 2.2e-16 ***
idConnecticut 2.6023154 0.1498965 17.3608 < 2.2e-16 ***
idDelaware 1.5350347 0.1179889 13.0100 < 2.2e-16 ***
idDistrictofColumbia 0.2349892 0.1429508 1.6438 0.1005521
idFlorida 2.0823362 0.1144555 18.1934 < 2.2e-16 ***
idGeorgia 1.4373713 0.1059295 13.5691 < 2.2e-16 ***
idHawaii 0.3487364 0.1283772 2.7165 0.0067224 **
idIdaho 0.2628188 0.0967373 2.7168 0.0067157 **
idIllinois 2.0965592 0.1151018 18.2148 < 2.2e-16 ***
idIndiana 1.0225522 0.1009613 10.1282 < 2.2e-16 ***
idIowa 0.2504755 0.0966991 2.5903 0.0097433 **
idKansas 0.0221685 0.0965109 0.2297 0.8183767
idKentucky 0.1779708 0.0978497 1.8188 0.0692667 .
idLouisiana 0.1248774 0.0965517 1.2934 0.1962092
idMaine 0.1370113 0.0965157 1.4196 0.1560725
idMaryland 1.3247738 0.1039667 12.7423 < 2.2e-16 ***
idMassachusetts 2.7456516 0.1269424 21.6291 < 2.2e-16 ***
idMichigan 2.3006979 0.1187293 19.3777 < 2.2e-16 ***
idMinnesota 1.8942056 0.1120803 16.9004 < 2.2e-16 ***
idMississippi 0.4695245 0.1905292 2.4643 0.0139107 *
idMissouri 0.7867603 0.0999601 7.8707 9.956e-15 ***
idMontana -0.4235795 0.0974812 -4.3452 1.547e-05 ***
idNebraska -0.4476276 0.1201317 -3.7261 0.0002064 ***
idNevada 0.9204212 0.1183915 7.7744 2.040e-14 ***
idNewHampshire 0.9067645 0.1004430 9.0277 < 2.2e-16 ***
idNewJersey 1.9782158 0.1132114 17.4736 < 2.2e-16 ***
idNewMexico 1.0264644 0.1011903 10.1439 < 2.2e-16 ***
idNewYork 2.9616957 0.1316362 22.4991 < 2.2e-16 ***
idNorthCarolina 1.9879208 0.1132110 17.5594 < 2.2e-16 ***
idNorthDakota -0.5278500 0.1000470 -5.2760 1.650e-07 ***
idOhio 2.3052030 0.1192060 19.3380 < 2.2e-16 ***
idOklahoma 0.5502913 0.0976222 5.6369 2.307e-08 ***
idOregon 1.4236463 0.1072424 13.2750 < 2.2e-16 ***
idPennsylvania 2.3660500 0.1199959 19.7178 < 2.2e-16 ***
idRhodeIsland 1.1345451 0.1923538 5.8982 5.171e-09 ***
idSouthCarolina 1.1438466 0.1390617 8.2255 6.654e-16 ***
idSouthDakota -0.5409167 0.1358824 -3.9808 7.415e-05 ***
idTennessee 0.8876437 0.1006149 8.8222 < 2.2e-16 ***
idTexas 2.5064488 0.1223233 20.4904 < 2.2e-16 ***
idUtah 0.7645975 0.0990958 7.7157 3.146e-14 ***
idVermont -0.0054305 0.0965073 -0.0563 0.9551389
idVirginia 1.6673294 0.1090390 15.2911 < 2.2e-16 ***
idWashington 1.8852291 0.1114953 16.9086 < 2.2e-16 ***
idWestVirginia -0.5391754 0.0980373 -5.4997 4.940e-08 ***
idWisconsin 1.6728844 0.1082008 15.4609 < 2.2e-16 ***
idWyoming -0.2520479 0.1027182 -2.4538 0.0143222 *
time2001 -2.3509494 0.4778964 -4.9194 1.030e-06 ***
time2002 -2.2738431 0.4427120 -5.1362 3.428e-07 ***
time2003 -2.2273932 0.3847175 -5.7897 9.693e-09 ***
time2004 -2.3457877 0.2740976 -8.5582 < 2.2e-16 ***
time2005 -2.0881419 0.2106976 -9.9106 < 2.2e-16 ***
time2006 -1.5246372 0.1692602 -9.0077 < 2.2e-16 ***
time2007 -1.0668421 0.1468762 -7.2635 8.078e-13 ***
time2008 -0.7417974 0.1817142 -4.0822 4.852e-05 ***
time2009 -0.0889422 0.2145442 -0.4146 0.6785589
time2010 -0.0536982 0.1926270 -0.2788 0.7804861
time2011 0.0484313 0.1401105 0.3457 0.7296743
time2012 0.1694147 0.1274143 1.3296 0.1839701
time2013 -0.0517685 0.1716581 -0.3016 0.7630417
time2014 -0.2013221 0.2091030 -0.9628 0.3359082
time2015 0.1101253 0.1002264 1.0988 0.2721600
time2016 0.0468470 0.0911468 0.5140 0.6073954
iis75 -1.1018357 0.3233891 -3.4072 0.0006851 ***
iis79 -1.1945972 0.3239976 -3.6871 0.0002402 ***
iis164 -1.0034540 0.3330403 -3.0130 0.0026581 **
iis235 -0.9994070 0.3270031 -3.0563 0.0023064 **
iis236 1.0796831 0.3280770 3.2909 0.0010368 **
iis237 -0.8910575 0.3284684 -2.7128 0.0067980 **
iis238 -1.0805123 0.3278157 -3.2961 0.0010182 **
iis346 -1.0882917 0.3163121 -3.4406 0.0006068 ***
iis501 -1.0199667 0.3164537 -3.2231 0.0013130 **
iis548 -0.8616768 0.3246750 -2.6540 0.0080935 **
iis687 -0.9487554 0.3173544 -2.9896 0.0028686 **
iis742 1.1691074 0.3163359 3.6958 0.0002323 ***
iis829 0.8692623 0.3219698 2.6998 0.0070659 **
iis839 -1.2304399 0.3221306 -3.8197 0.0001427 ***
iis843 -0.9689278 0.3163398 -3.0629 0.0022561 **
iis921 -0.9847208 0.3165578 -3.1107 0.0019243 **
fesisAlaska.2007 -0.9936783 0.1732300 -5.7362 1.316e-08 ***
fesisAlaska.2014 0.6697021 0.1651291 4.0556 5.427e-05 ***
fesisArkansas.2002 -1.1838989 0.3447750 -3.4338 0.0006219 ***
fesisArkansas.2006 -0.7004627 0.2356400 -2.9726 0.0030305 **
fesisArkansas.2009 1.1341634 0.2032342 5.5806 3.160e-08 ***
fesisConnecticut.2009 -0.5741430 0.1417775 -4.0496 5.566e-05 ***
fesisDelaware.2014 -0.8734564 0.1459138 -5.9861 3.086e-09 ***
fesisDistrictofColumbia.2008 -0.8314279 0.1995239 -4.1671 3.379e-05 ***
fesisDistrictofColumbia.2012 1.0482009 0.1871571 5.6006 2.826e-08 ***
fesisHawaii.2009 -0.4996759 0.1547244 -3.2295 0.0012845 **
fesisMississippi.2004 -1.3722089 0.1961342 -6.9963 5.083e-12 ***
fesisMississippi.2020 1.3141438 0.3178669 4.1343 3.889e-05 ***
fesisNebraska.2012 0.5777925 0.1430648 4.0387 5.827e-05 ***
fesisNevada.2012 -0.5760822 0.1498992 -3.8431 0.0001299 ***
fesisNevada.2019 0.9001138 0.2472292 3.6408 0.0002871 ***
fesisRhodeIsland.2004 -0.8194007 0.1938512 -4.2270 2.607e-05 ***
fesisSouthCarolina.2008 0.7655921 0.1464035 5.2293 2.110e-07 ***
fesisSouthDakota.2008 0.6115876 0.1502517 4.0704 5.099e-05 ***
fesisWyoming.2017 -0.7676446 0.1953669 -3.9292 9.164e-05 ***
fesisWyoming.2020 1.5977885 0.3561357 4.4865 8.165e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.4264963 1 0.5137
Ljung-Box ARCH(1) 0.0013378 1 0.9708
SE of regression 0.30518
R-squared 0.94634
Log-lik.(n=1020) -183.21348 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:07:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0475213 0.0302561 1.5706 0.1166631
lgdp 48.5110180 3.0230728 16.0469 < 2.2e-16 ***
lpop -38.1699964 1.8475179 -20.6601 < 2.2e-16 ***
lgdp_sq -1.7571000 0.1807835 -9.7194 < 2.2e-16 ***
avg_temp -0.0753638 0.0738704 -1.0202 0.3079347
idArizona 1.6448094 0.1035220 15.8885 < 2.2e-16 ***
idArkansas -0.4067450 0.1570680 -2.5896 0.0097836 **
idCalifornia 3.7988976 0.1496006 25.3936 < 2.2e-16 ***
idColorado 1.9688631 0.1085297 18.1412 < 2.2e-16 ***
idConnecticut 2.5772926 0.1440698 17.8892 < 2.2e-16 ***
idDelaware 1.5144963 0.1116981 13.5588 < 2.2e-16 ***
idDistrictofColumbia 0.0402563 0.1147927 0.3507 0.7259160
idFlorida 2.0539454 0.1099488 18.6809 < 2.2e-16 ***
idGeorgia 1.4172196 0.1004146 14.1137 < 2.2e-16 ***
idHawaii 0.3576058 0.1194607 2.9935 0.0028431 **
idIdaho 0.2597285 0.0899697 2.8868 0.0039963 **
idIllinois 2.0676175 0.1106667 18.6833 < 2.2e-16 ***
idIndiana 1.0088664 0.0947941 10.6427 < 2.2e-16 ***
idIowa 0.2013557 0.0911895 2.2081 0.0275208 *
idKansas -0.0301357 0.0909069 -0.3315 0.7403532
idKentucky 0.1747304 0.0909706 1.9207 0.0551212 .
idLouisiana 0.2138756 0.1106059 1.9337 0.0535068 .
idMaine 0.2348371 0.0922292 2.5462 0.0110761 *
idMaryland 1.3069302 0.0982004 13.3088 < 2.2e-16 ***
idMassachusetts 2.7076036 0.1237185 21.8852 < 2.2e-16 ***
idMichigan 2.2687891 0.1146845 19.7829 < 2.2e-16 ***
idMinnesota 1.8679090 0.1073052 17.4074 < 2.2e-16 ***
idMissouri 0.7765156 0.0933737 8.3162 3.904e-16 ***
idNebraska -0.3527147 0.1160362 -3.0397 0.0024455 **
idNevada 0.9142407 0.1109694 8.2387 7.110e-16 ***
idNewHampshire 0.8939162 0.0942044 9.4891 < 2.2e-16 ***
idNewJersey 1.9509073 0.1085653 17.9699 < 2.2e-16 ***
idNewMexico 1.0124233 0.0950543 10.6510 < 2.2e-16 ***
idNewYork 2.9203920 0.1288480 22.6654 < 2.2e-16 ***
idNorthCarolina 1.9606126 0.1085649 18.0594 < 2.2e-16 ***
idOhio 2.2729181 0.1152111 19.7283 < 2.2e-16 ***
idOklahoma 0.5434973 0.0909842 5.9735 3.495e-09 ***
idOregon 2.0843596 0.1872539 11.1312 < 2.2e-16 ***
idPennsylvania 2.3331482 0.1160831 20.0990 < 2.2e-16 ***
idRhodeIsland 1.1425012 0.1795069 6.3647 3.298e-10 ***
idSouthCarolina 1.1398161 0.1304322 8.7388 < 2.2e-16 ***
idSouthDakota -0.6202138 0.1788175 -3.4684 0.0005516 ***
idTennessee 0.8747237 0.0941279 9.2929 < 2.2e-16 ***
idTexas 2.4717706 0.1186477 20.8329 < 2.2e-16 ***
idUtah 0.7542119 0.0926690 8.1388 1.529e-15 ***
idVermont -0.0051318 0.0897056 -0.0572 0.9543943
idVirginia 1.6443837 0.1036388 15.8665 < 2.2e-16 ***
idWashington 1.8594672 0.1066527 17.4348 < 2.2e-16 ***
idWisconsin 1.6503098 0.1029671 16.0275 < 2.2e-16 ***
time2001 -2.6445561 0.4741520 -5.5774 3.342e-08 ***
time2002 -2.5604321 0.4390568 -5.8317 7.968e-09 ***
time2003 -2.5332751 0.3816653 -6.6374 5.893e-11 ***
time2004 -2.6228367 0.2719489 -9.6446 < 2.2e-16 ***
time2005 -2.2910328 0.2087039 -10.9774 < 2.2e-16 ***
time2006 -1.7572425 0.1674246 -10.4957 < 2.2e-16 ***
time2007 -1.2484564 0.1452354 -8.5961 < 2.2e-16 ***
time2008 -0.8813609 0.1803859 -4.8860 1.244e-06 ***
time2009 -0.1977717 0.2128164 -0.9293 0.3530112
time2010 -0.1282581 0.1914007 -0.6701 0.5029863
time2011 -0.0246581 0.1389321 -0.1775 0.8591742
time2012 0.1325784 0.1262667 1.0500 0.2940421
time2013 -0.0692509 0.1702524 -0.4068 0.6842974
time2014 -0.2330633 0.2074596 -1.1234 0.2615990
time2015 0.0597109 0.0990529 0.6028 0.5468008
time2016 0.0482457 0.0902328 0.5347 0.5930202
iis41 1.1932117 0.3209614 3.7176 0.0002152 ***
iis59 -1.1039323 0.3004388 -3.6744 0.0002543 ***
iis144 -0.7967289 0.3030863 -2.6287 0.0087355 **
iis148 -1.2861321 0.3036212 -4.2360 2.541e-05 ***
iis215 -0.9833785 0.3043165 -3.2314 0.0012822 **
iis216 1.0625424 0.3055891 3.4770 0.0005344 ***
iis217 -0.9272905 0.3060494 -3.0299 0.0025255 **
iis218 -1.0833915 0.3053167 -3.5484 0.0004102 ***
iis282 0.9259071 0.2950072 3.1386 0.0017601 **
iis326 -1.0528366 0.2944526 -3.5756 0.0003705 ***
iis364 -1.0158247 0.2950716 -3.4426 0.0006061 ***
iis370 -0.9538403 0.2950596 -3.2327 0.0012766 **
iis461 -1.0060732 0.2946168 -3.4149 0.0006704 ***
iis488 -0.9580474 0.3041607 -3.1498 0.0016947 **
iis490 -0.7898854 0.3025532 -2.6107 0.0092044 **
iis759 -1.1466092 0.3025986 -3.7892 0.0001625 ***
iis763 -0.9278744 0.2944721 -3.1510 0.0016880 **
iis841 -0.9670714 0.2947055 -3.2815 0.0010775 **
fesisArkansas.2006 -0.6870351 0.2194001 -3.1314 0.0018030 **
fesisArkansas.2009 1.0067828 0.1872653 5.3762 9.994e-08 ***
fesisConnecticut.2009 -0.5849295 0.1323329 -4.4201 1.123e-05 ***
fesisDelaware.2014 -0.8656810 0.1362261 -6.3547 3.507e-10 ***
fesisDistrictofColumbia.2012 0.3976802 0.1370864 2.9009 0.0038227 **
fesisHawaii.2009 -0.5083908 0.1442381 -3.5247 0.0004482 ***
fesisKansas.2020 1.0558511 0.2944624 3.5857 0.0003566 ***
fesisLouisiana.2011 -0.6989749 0.1711972 -4.0829 4.897e-05 ***
fesisLouisiana.2015 0.8636856 0.1864158 4.6331 4.205e-06 ***
fesisNebraska.2012 0.4745377 0.1367828 3.4693 0.0005498 ***
fesisNevada.2012 -0.5976475 0.1398569 -4.2733 2.159e-05 ***
fesisNevada.2019 0.9585259 0.2301132 4.1655 3.446e-05 ***
fesisOregon.2004 -0.7324707 0.1807685 -4.0520 5.575e-05 ***
fesisRhodeIsland.2004 -0.8361239 0.1806917 -4.6274 4.321e-06 ***
fesisSouthCarolina.2008 0.7374334 0.1365268 5.4014 8.733e-08 ***
fesisSouthDakota.2004 1.2399725 0.3315711 3.7397 0.0001974 ***
fesisSouthDakota.2005 -1.4223097 0.3314424 -4.2913 1.995e-05 ***
fesisSouthDakota.2008 1.4017284 0.2347874 5.9702 3.564e-09 ***
fesisSouthDakota.2011 -0.6163723 0.1914461 -3.2196 0.0013358 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.57139 1 0.4497
Ljung-Box ARCH(1) 0.13397 1 0.7143
SE of regression 0.28367
R-squared 0.94607
Log-lik.(n=900) -92.08317 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:06:16 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 7.9618e-02 3.4448e-02 2.3112 0.0211325 *
lgdp -1.0079e+02 1.7176e+01 -5.8681 7.033e-09 ***
lpop 9.5463e+01 1.3449e+01 7.0984 3.325e-12 ***
lgdp_sq 2.5663e+00 5.7658e-01 4.4508 1.007e-05 ***
avg_temp 3.2198e-01 1.0059e-01 3.2009 0.0014369 **
idCalifornia 2.0819e+00 1.1134e-01 18.6979 < 2.2e-16 ***
idColorado 3.1406e-01 8.0681e-02 3.8927 0.0001094 ***
idConnecticut 9.0160e-01 1.1148e-01 8.0873 3.005e-15 ***
idDelaware -1.2823e-01 9.0538e-02 -1.4163 0.1571633
idDistrictofColumbia -1.3375e+00 1.3320e-01 -10.0415 < 2.2e-16 ***
idFlorida 3.9651e-01 8.1106e-02 4.8888 1.281e-06 ***
idGeorgia -2.2064e-01 8.0312e-02 -2.7474 0.0061749 **
idIdaho -1.3376e+00 9.4820e-02 -14.1068 < 2.2e-16 ***
idIllinois 4.0887e-01 8.1352e-02 5.0259 6.489e-07 ***
idIndiana -6.1364e-01 8.3472e-02 -7.3514 5.935e-13 ***
idIowa -1.3929e+00 9.5609e-02 -14.5692 < 2.2e-16 ***
idKentucky -1.4162e+00 9.7906e-02 -14.4647 < 2.2e-16 ***
idMaryland -3.2545e-01 8.1070e-02 -4.0145 6.655e-05 ***
idMassachusetts 1.0272e+00 8.8611e-02 11.5926 < 2.2e-16 ***
idMichigan 6.0299e-01 8.3077e-02 7.2583 1.126e-12 ***
idMinnesota 2.1545e-01 8.0386e-02 2.6802 0.0075460 **
idMissouri -8.3723e-01 8.8103e-02 -9.5029 < 2.2e-16 ***
idNevada -7.1034e-01 9.8573e-02 -7.2063 1.605e-12 ***
idNewHampshire -7.2660e-01 8.4109e-02 -8.6388 < 2.2e-16 ***
idNewJersey 2.9604e-01 8.0690e-02 3.6689 0.0002637 ***
idNewMexico -6.1093e-01 8.3216e-02 -7.3414 6.361e-13 ***
idNewYork 1.2323e+00 9.2491e-02 13.3233 < 2.2e-16 ***
idNorthCarolina 3.0575e-01 8.0690e-02 3.7891 0.0001653 ***
idOhio 6.0623e-01 8.3342e-02 7.2740 1.011e-12 ***
idOklahoma -1.0626e+00 9.0098e-02 -11.7942 < 2.2e-16 ***
idOregon 4.2341e-01 1.5870e-01 2.6680 0.0078203 **
idPennsylvania 6.6499e-01 8.3798e-02 7.9356 9.233e-15 ***
idRhodeIsland -4.8425e-01 1.6066e-01 -3.0141 0.0026778 **
idSouthCarolina -4.8920e-01 1.1333e-01 -4.3168 1.831e-05 ***
idTennessee -7.4228e-01 8.6738e-02 -8.5577 < 2.2e-16 ***
idTexas 7.9940e-01 8.5262e-02 9.3757 < 2.2e-16 ***
idUtah -8.1752e-01 8.7345e-02 -9.3596 < 2.2e-16 ***
idVirginia 4.6238e-04 8.1071e-02 0.0057 0.9954511
idWashington 2.0827e-01 8.0258e-02 2.5951 0.0096713 **
idWisconsin 6.6893e-03 7.9975e-02 0.0836 0.9333672
time2001 1.4695e+01 3.0854e+00 4.7628 2.358e-06 ***
time2002 1.3967e+01 2.8808e+00 4.8482 1.562e-06 ***
time2003 1.3945e+01 2.7052e+00 5.1550 3.372e-07 ***
time2004 1.3688e+01 2.6362e+00 5.1925 2.782e-07 ***
time2005 1.3154e+01 2.3328e+00 5.6386 2.560e-08 ***
time2006 1.1887e+01 2.0264e+00 5.8659 7.126e-09 ***
time2007 1.0819e+01 1.7609e+00 6.1439 1.406e-09 ***
time2008 9.1971e+00 1.5944e+00 5.7683 1.240e-08 ***
time2009 5.0850e+00 1.1755e+00 4.3258 1.760e-05 ***
time2010 4.7539e+00 1.1411e+00 4.1660 3.520e-05 ***
time2011 4.5726e+00 1.0745e+00 4.2555 2.394e-05 ***
time2012 3.4857e+00 7.8128e-01 4.4615 9.596e-06 ***
time2013 3.1297e+00 8.1044e-01 3.8617 0.0001239 ***
time2014 1.3214e+00 4.7369e-01 2.7895 0.0054340 **
time2015 8.6641e-01 3.7191e-01 2.3296 0.0201338 *
time2016 1.6106e-01 2.0005e-01 0.8051 0.4210788
iis104 -1.0486e+00 2.7729e-01 -3.7816 0.0001702 ***
iis222 8.7788e-01 2.6386e-01 3.3271 0.0009271 ***
iis246 -1.1043e+00 2.6319e-01 -4.1960 3.096e-05 ***
iis341 -9.8468e-01 2.6336e-01 -3.7390 0.0002011 ***
iis603 -9.0402e-01 2.6327e-01 -3.4338 0.0006331 ***
iis659 -8.5872e-01 2.6324e-01 -3.2621 0.0011639 **
iis661 -9.3675e-01 2.6347e-01 -3.5554 0.0004049 ***
fesisConnecticut.2009 -5.6679e-01 1.1880e-01 -4.7711 2.265e-06 ***
fesisDelaware.2014 -8.3594e-01 1.2256e-01 -6.8209 2.078e-11 ***
fesisDistrictofColumbia.2008 -1.0230e+00 1.8197e-01 -5.6216 2.814e-08 ***
fesisDistrictofColumbia.2011 1.1551e+00 1.7072e-01 6.7662 2.961e-11 ***
fesisNevada.2012 -5.7815e-01 1.2539e-01 -4.6107 4.835e-06 ***
fesisNevada.2019 9.7808e-01 2.0568e-01 4.7554 2.443e-06 ***
fesisOregon.2004 -7.0584e-01 1.6206e-01 -4.3554 1.543e-05 ***
fesisRhodeIsland.2004 -8.1037e-01 1.6195e-01 -5.0039 7.246e-07 ***
fesisSouthCarolina.2008 7.1584e-01 1.2292e-01 5.8235 9.076e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.7187008 1 0.3966
Ljung-Box ARCH(1) 0.0059898 1 0.9383
SE of regression 0.25287
R-squared 0.94355
Log-lik.(n=720) 4.27189 0.05
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:01:39 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0142064 0.0275714 0.5153 0.6065031
lgdp 45.4762662 2.8330892 16.0518 < 2.2e-16 ***
lpop -34.8991182 1.7332293 -20.1353 < 2.2e-16 ***
lgdp_sq -1.6765453 0.1689815 -9.9215 < 2.2e-16 ***
avg_temp -0.1171333 0.0680490 -1.7213 0.0855488 .
idAlaska -0.6360663 0.1406455 -4.5225 6.956e-06 ***
idArizona 1.6926609 0.1027904 16.4671 < 2.2e-16 ***
idArkansas 0.7319626 0.2828212 2.5881 0.0098118 **
idCalifornia 3.9216787 0.1425169 27.5173 < 2.2e-16 ***
idColorado 2.0270836 0.1070324 18.9390 < 2.2e-16 ***
idConnecticut 2.6561453 0.1391969 19.0819 < 2.2e-16 ***
idDelaware 1.5572386 0.1102846 14.1202 < 2.2e-16 ***
idDistrictofColumbia 0.2371182 0.1305958 1.8157 0.0697647 .
idFlorida 2.1149043 0.1082385 19.5393 < 2.2e-16 ***
idGeorgia 1.4578627 0.1001693 14.5540 < 2.2e-16 ***
idHawaii 0.3528882 0.1180609 2.9890 0.0028771 **
idIdaho -0.5205351 0.2824725 -1.8428 0.0656998 .
idIllinois 2.1299347 0.1088493 19.5677 < 2.2e-16 ***
idIndiana 1.0335661 0.0954468 10.8287 < 2.2e-16 ***
idIowa -0.3374395 0.2824575 -1.1947 0.2325461
idKansas 0.0071362 0.0933441 0.0765 0.9390784
idKentucky 0.1700069 0.0922854 1.8422 0.0657870 .
idLouisiana 0.2141295 0.1098983 1.9484 0.0516832 .
idMaine 0.2266892 0.0934303 2.4263 0.0154556 *
idMaryland 1.3418822 0.0983065 13.6500 < 2.2e-16 ***
idMassachusetts 2.7923749 0.1200267 23.2646 < 2.2e-16 ***
idMichigan 2.3384225 0.1122758 20.8275 < 2.2e-16 ***
idMinnesota 1.9237041 0.1059931 18.1493 < 2.2e-16 ***
idMississippi 0.4714723 0.1721045 2.7395 0.0062796 **
idMissouri 0.7924166 0.0943493 8.3988 < 2.2e-16 ***
idMontana -0.4101271 0.0931977 -4.4006 1.213e-05 ***
idNebraska -0.3197774 0.1191021 -2.6849 0.0073927 **
idNevada 0.9370904 0.1099992 8.5191 < 2.2e-16 ***
idNewHampshire 0.9165509 0.0949521 9.6528 < 2.2e-16 ***
idNewJersey 2.0091974 0.1070626 18.7666 < 2.2e-16 ***
idNewMexico 1.0379993 0.0956652 10.8503 < 2.2e-16 ***
idNewYork 3.0131910 0.1244533 24.2114 < 2.2e-16 ***
idNorthCarolina 2.0189019 0.1070623 18.8573 < 2.2e-16 ***
idNorthDakota -0.5933094 0.1406959 -4.2170 2.734e-05 ***
idOhio 2.3434788 0.1127260 20.7892 < 2.2e-16 ***
idOklahoma 0.5512035 0.0922432 5.9755 3.337e-09 ***
idOregon 1.8756612 0.2142395 8.7550 < 2.2e-16 ***
idPennsylvania 2.4052302 0.1134717 21.1967 < 2.2e-16 ***
idRhodeIsland 1.1527243 0.1740107 6.6244 6.090e-11 ***
idSouthCarolina 1.1707384 0.1279074 9.1530 < 2.2e-16 ***
idSouthDakota -0.7389781 0.1314938 -5.6199 2.571e-08 ***
idTennessee 0.8937178 0.0949772 9.4098 < 2.2e-16 ***
idTexas 2.5482327 0.1156686 22.0305 < 2.2e-16 ***
idUtah 0.7707740 0.0936632 8.2292 6.820e-16 ***
idVermont -0.0280691 0.1134343 -0.2474 0.8046200
idVirginia 1.6916023 0.1029898 16.4249 < 2.2e-16 ***
idWashington 1.9139437 0.1054398 18.1520 < 2.2e-16 ***
idWestVirginia -0.3913969 0.1043218 -3.7518 0.0001871 ***
idWisconsin 1.6969272 0.1023218 16.5842 < 2.2e-16 ***
idWyoming -0.2667085 0.0961038 -2.7752 0.0056345 **
time2001 -2.6685160 0.4403128 -6.0605 2.017e-09 ***
time2002 -2.5829034 0.4085195 -6.3226 4.100e-10 ***
time2003 -2.5377536 0.3537105 -7.1747 1.548e-12 ***
time2004 -2.5676566 0.2523099 -10.1766 < 2.2e-16 ***
time2005 -2.2597329 0.1934234 -11.6828 < 2.2e-16 ***
time2006 -1.6534965 0.1563605 -10.5749 < 2.2e-16 ***
time2007 -1.1657045 0.1356445 -8.5938 < 2.2e-16 ***
time2008 -0.8881006 0.1655882 -5.3633 1.047e-07 ***
time2009 -0.2836173 0.1957586 -1.4488 0.1477493
time2010 -0.2149167 0.1754113 -1.2252 0.2208245
time2011 -0.0243147 0.1286032 -0.1891 0.8500836
time2012 0.1381183 0.1178826 1.1717 0.2416535
time2013 -0.1365243 0.1560648 -0.8748 0.3819275
time2014 -0.3575761 0.1898236 -1.8837 0.0599339 .
time2015 0.0639017 0.0918337 0.6958 0.4867135
time2016 0.0440108 0.0837785 0.5253 0.5994917
iis19 0.8429755 0.3358763 2.5098 0.0122606 *
iis23 0.6547980 0.3004510 2.1794 0.0295698 *
iis66 -1.3545132 0.2898907 -4.6725 3.445e-06 ***
iis67 -1.1056380 0.2900202 -3.8123 0.0001474 ***
iis68 -1.1241548 0.2894683 -3.8835 0.0001107 ***
iis75 -1.1705698 0.2890080 -4.0503 5.570e-05 ***
iis77 -0.7611034 0.2894520 -2.6295 0.0087024 **
iis79 -1.2093311 0.2897269 -4.1740 3.292e-05 ***
iis164 -0.9945085 0.2962174 -3.3574 0.0008209 ***
iis168 -0.8367098 0.3187966 -2.6246 0.0088270 **
iis235 -1.0009331 0.2907491 -3.4426 0.0006035 ***
iis236 1.0602884 0.2918464 3.6330 0.0002965 ***
iis237 -0.8746018 0.2924569 -2.9905 0.0028631 **
iis238 -1.1070224 0.2917033 -3.7950 0.0001578 ***
iis331 -0.8221422 0.2816705 -2.9188 0.0036040 **
iis346 -1.0669132 0.2813273 -3.7924 0.0001595 ***
iis379 0.6860894 0.3003414 2.2844 0.0225893 *
iis384 -1.0256127 0.2818531 -3.6388 0.0002900 ***
iis390 -0.9295938 0.2818830 -3.2978 0.0010138 **
iis493 -0.5739980 0.2889381 -1.9866 0.0472815 *
iis501 -1.0340557 0.2815395 -3.6729 0.0002544 ***
iis532 -0.6360743 0.2820027 -2.2556 0.0243450 *
iis543 -0.5792785 0.2908451 -1.9917 0.0467143 *
iis548 -0.9970587 0.2921446 -3.4129 0.0006723 ***
iis550 -0.8392576 0.2908544 -2.8855 0.0040043 **
iis578 -0.6215469 0.2962834 -2.0978 0.0362087 *
iis687 -0.8675048 0.2875018 -3.0174 0.0026236 **
iis691 -0.7893330 0.2863381 -2.7566 0.0059615 **
iis742 0.7632657 0.3362041 2.2702 0.0234357 *
iis817 0.6745806 0.2865013 2.3545 0.0187659 *
iis818 0.6399595 0.2869796 2.2300 0.0260022 *
iis824 1.3312169 0.2961178 4.4956 7.874e-06 ***
iis829 1.0748760 0.2960428 3.6308 0.0002990 ***
iis830 0.8802536 0.2972176 2.9616 0.0031429 **
iis834 0.6149207 0.2960124 2.0773 0.0380613 *
iis837 0.7400137 0.2964074 2.4966 0.0127220 *
iis843 -0.9527531 0.2813988 -3.3858 0.0007415 ***
iis921 -1.0043151 0.2816251 -3.5661 0.0003820 ***
iis973 -0.6451421 0.2939433 -2.1948 0.0284418 *
fesisAlabama.2017 -0.8542641 0.2828996 -3.0197 0.0026041 **
fesisAlabama.2018 0.7977194 0.3360400 2.3739 0.0178176 *
fesisAlaska.2007 -0.9224536 0.1624429 -5.6786 1.849e-08 ***
fesisAlaska.2014 0.6842213 0.1469388 4.6565 3.716e-06 ***
fesisArkansas.2002 -1.1503231 0.3066590 -3.7511 0.0001876 ***
fesisArkansas.2006 0.4820965 0.1650200 2.9214 0.0035739 **
fesisConnecticut.2009 -0.6019968 0.1263936 -4.7629 2.234e-06 ***
fesisDelaware.2014 -0.7732195 0.1367660 -5.6536 2.128e-08 ***
fesisDelaware.2020 -0.8043484 0.2963005 -2.7146 0.0067658 **
fesisDistrictofColumbia.2008 -0.6476123 0.1952276 -3.3172 0.0009468 ***
fesisDistrictofColumbia.2012 0.8531177 0.1858937 4.5893 5.100e-06 ***
fesisHawaii.2009 -0.5230715 0.1378057 -3.7957 0.0001574 ***
fesisIdaho.2002 0.8198288 0.2815590 2.9117 0.0036856 **
fesisIowa.2002 1.4589331 0.3879040 3.7611 0.0001805 ***
fesisIowa.2003 -0.8921974 0.2822084 -3.1615 0.0016238 **
fesisKansas.2020 0.9275503 0.2819530 3.2897 0.0010430 **
fesisLouisiana.2011 -0.7243172 0.1634276 -4.4320 1.052e-05 ***
fesisLouisiana.2015 0.7719463 0.1849459 4.1739 3.294e-05 ***
fesisMississippi.2004 -1.1676822 0.1947663 -5.9953 2.970e-09 ***
fesisMississippi.2010 -0.3180443 0.1454499 -2.1866 0.0290347 *
fesisMississippi.2020 1.4003182 0.2891629 4.8427 1.515e-06 ***
fesisNebraska.2012 0.4327658 0.1345522 3.2163 0.0013461 **
fesisNevada.2012 -0.5195463 0.1402185 -3.7053 0.0002245 ***
fesisNevada.2019 0.8465380 0.2239613 3.7798 0.0001676 ***
fesisNorthDakota.2006 0.7979092 0.3005943 2.6544 0.0080886 **
fesisNorthDakota.2007 -0.8054294 0.2865599 -2.8107 0.0050543 **
fesisNorthDakota.2020 0.8756288 0.2865472 3.0558 0.0023129 **
fesisOregon.2004 -0.4834731 0.2063511 -2.3430 0.0193549 *
fesisRhodeIsland.2004 -0.8406381 0.1726012 -4.8704 1.322e-06 ***
fesisSouthCarolina.2008 0.6595474 0.1341240 4.9174 1.048e-06 ***
fesisSouthDakota.2008 0.6130910 0.1593013 3.8486 0.0001274 ***
fesisSouthDakota.2018 -0.4428768 0.1941681 -2.2809 0.0227949 *
fesisVermont.2010 0.5556208 0.1830882 3.0347 0.0024790 **
fesisVermont.2013 -0.7310920 0.1860829 -3.9289 9.209e-05 ***
fesisWestVirginia.2013 -0.3406067 0.1316382 -2.5874 0.0098296 **
fesisWyoming.2017 -0.7785183 0.1740541 -4.4729 8.737e-06 ***
fesisWyoming.2020 1.6053993 0.3168407 5.0669 4.936e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0015689 1 0.9684
Ljung-Box ARCH(1) 0.1172142 1 0.7321
SE of regression 0.27130
R-squared 0.95945
Log-lik.(n=1020) -43.20138 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:06:58 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.072589 0.028603 2.5378 0.0113508 *
lgdp 47.924237 2.850993 16.8097 < 2.2e-16 ***
lpop -38.113434 1.724578 -22.1001 < 2.2e-16 ***
lgdp_sq -1.700076 0.171130 -9.9344 < 2.2e-16 ***
avg_temp -0.099644 0.070005 -1.4234 0.1550313
idArizona 1.341775 0.104315 12.8627 < 2.2e-16 ***
idArkansas -0.300936 0.100861 -2.9837 0.0029380 **
idCalifornia 3.439482 0.147297 23.3507 < 2.2e-16 ***
idColorado 1.658027 0.109017 15.2088 < 2.2e-16 ***
idConnecticut 2.259142 0.140323 16.0995 < 2.2e-16 ***
idDelaware 1.220673 0.110957 11.0013 < 2.2e-16 ***
idDistrictofColumbia -0.126835 0.115492 -1.0982 0.2724535
idFlorida 1.741049 0.110346 15.7781 < 2.2e-16 ***
idGeorgia 1.119610 0.101379 11.0438 < 2.2e-16 ***
idHawaii 0.102338 0.115842 0.8834 0.3772811
idIdaho -0.761558 0.271358 -2.8065 0.0051351 **
idIllinois 1.753699 0.111017 15.7967 < 2.2e-16 ***
idIndiana 0.723253 0.095990 7.5347 1.374e-13 ***
idIowa -0.575281 0.271323 -2.1203 0.0343011 *
idKansas -0.247994 0.092584 -2.6786 0.0075511 **
idKentucky -0.089588 0.091728 -0.9767 0.3290365
idLouisiana -0.045885 0.108374 -0.4234 0.6721253
idMaine -0.025118 0.092586 -0.2713 0.7862356
idMaryland 1.013602 0.099273 10.2103 < 2.2e-16 ***
idMassachusetts 2.376789 0.123190 19.2936 < 2.2e-16 ***
idMichigan 1.949365 0.114770 16.9850 < 2.2e-16 ***
idMinnesota 1.843458 0.142690 12.9193 < 2.2e-16 ***
idMissouri 0.499169 0.094407 5.2874 1.617e-07 ***
idNebraska -0.264522 0.102595 -2.5783 0.0101124 *
idNevada 0.635987 0.109506 5.8078 9.253e-09 ***
idNewHampshire 0.609857 0.095413 6.3917 2.838e-10 ***
idNewJersey 1.640019 0.109051 15.0390 < 2.2e-16 ***
idNewMexico 0.726151 0.096244 7.5449 1.277e-13 ***
idNewYork 2.583537 0.127967 20.1891 < 2.2e-16 ***
idNorthCarolina 1.649725 0.109050 15.1281 < 2.2e-16 ***
idOhio 1.952796 0.115261 16.9423 < 2.2e-16 ***
idOklahoma 0.270671 0.092157 2.9371 0.0034121 **
idOregon 1.520347 0.208661 7.2862 7.897e-13 ***
idPennsylvania 2.011882 0.116075 17.3327 < 2.2e-16 ***
idRhodeIsland 0.856019 0.169262 5.0574 5.316e-07 ***
idSouthCarolina 0.858932 0.126469 6.7916 2.216e-11 ***
idSouthDakota -0.864402 0.167581 -5.1581 3.175e-07 ***
idTennessee 0.593731 0.095166 6.2389 7.263e-10 ***
idTexas 2.147208 0.118466 18.1251 < 2.2e-16 ***
idUtah 0.519123 0.094812 5.4753 5.913e-08 ***
idVermont -0.269804 0.111367 -2.4227 0.0156370 *
idVirginia 1.343472 0.104319 12.8785 < 2.2e-16 ***
idWashington 1.551448 0.107258 14.4646 < 2.2e-16 ***
idWisconsin 1.348204 0.103792 12.9894 < 2.2e-16 ***
time2001 -2.477710 0.447875 -5.5321 4.335e-08 ***
time2002 -2.400320 0.415375 -5.7787 1.093e-08 ***
time2003 -2.439954 0.359912 -6.7793 2.402e-11 ***
time2004 -2.555245 0.256559 -9.9597 < 2.2e-16 ***
time2005 -2.294742 0.196449 -11.6811 < 2.2e-16 ***
time2006 -1.749929 0.157909 -11.0819 < 2.2e-16 ***
time2007 -1.243037 0.136850 -9.0832 < 2.2e-16 ***
time2008 -0.895048 0.169575 -5.2782 1.698e-07 ***
time2009 -0.194709 0.199692 -0.9750 0.3298425
time2010 -0.117583 0.179784 -0.6540 0.5132913
time2011 -0.028126 0.130618 -0.2153 0.8295681
time2012 0.142027 0.119129 1.1922 0.2335438
time2013 -0.091552 0.160510 -0.5704 0.5685839
time2014 -0.279014 0.195456 -1.4275 0.1538386
time2015 0.102276 0.093279 1.0964 0.2732251
time2016 0.070025 0.084926 0.8245 0.4098890
iis2 -0.863365 0.271680 -3.1779 0.0015428 **
iis4 -0.859021 0.271801 -3.1605 0.0016367 **
iis10 -1.041073 0.271579 -3.8334 0.0001367 ***
iis13 -0.774180 0.271812 -2.8482 0.0045136 **
iis17 -1.131442 0.271709 -4.1642 3.478e-05 ***
iis41 0.830111 0.272461 3.0467 0.0023925 **
iis42 -0.810569 0.274644 -2.9513 0.0032599 **
iis46 -1.225972 0.273067 -4.4896 8.224e-06 ***
iis47 -0.898746 0.273031 -3.2917 0.0010410 **
iis48 -0.933758 0.272627 -3.4250 0.0006472 ***
iis55 -1.050989 0.272205 -3.8610 0.0001224 ***
iis59 -1.169849 0.273088 -4.2838 2.070e-05 ***
iis144 -0.901134 0.278716 -3.2332 0.0012764 **
iis148 -1.385270 0.279085 -4.9636 8.521e-07 ***
iis150 -0.699701 0.278503 -2.5124 0.0121956 *
iis215 -1.007429 0.278094 -3.6226 0.0003107 ***
iis216 1.086994 0.279309 3.8917 0.0001081 ***
iis217 -0.947934 0.279884 -3.3869 0.0007428 ***
iis218 -1.081677 0.279198 -3.8742 0.0001161 ***
iis282 0.902765 0.270157 3.3416 0.0008730 ***
iis311 -0.782639 0.269341 -2.9058 0.0037685 **
iis326 -1.025341 0.269055 -3.8109 0.0001495 ***
iis364 -1.014561 0.269728 -3.7614 0.0001817 ***
iis370 -0.984816 0.269736 -3.6510 0.0002788 ***
iis461 -1.017939 0.269357 -3.7791 0.0001695 ***
iis482 -0.704075 0.273809 -2.5714 0.0103148 *
iis483 -0.809264 0.273178 -2.9624 0.0031463 **
iis484 -0.753013 0.273536 -2.7529 0.0060463 **
iis488 -1.308898 0.273929 -4.7782 2.117e-06 ***
iis490 -1.144529 0.273117 -4.1906 3.104e-05 ***
iis498 -1.172418 0.321504 -3.6467 0.0002835 ***
iis518 -0.651029 0.283499 -2.2964 0.0219199 *
iis662 0.752454 0.321808 2.3382 0.0196314 *
iis737 0.661588 0.273984 2.4147 0.0159803 *
iis738 0.581091 0.274663 2.1157 0.0346946 *
iis759 -0.933234 0.321202 -2.9054 0.0037724 **
iis763 -0.915697 0.269104 -3.4028 0.0007015 ***
iis819 -0.888025 0.269191 -3.2989 0.0010153 **
iis841 -0.971968 0.269434 -3.6074 0.0003292 ***
fesisAlabama.2020 -0.535341 0.272582 -1.9640 0.0498937 *
fesisConnecticut.2009 -0.585771 0.121092 -4.8374 1.589e-06 ***
fesisDelaware.2014 -0.864125 0.124669 -6.9313 8.814e-12 ***
fesisDistrictofColumbia.2012 0.286923 0.128917 2.2256 0.0263269 *
fesisHawaii.2009 -0.510064 0.131919 -3.8665 0.0001197 ***
fesisIdaho.2002 0.795086 0.269369 2.9517 0.0032565 **
fesisIowa.2002 0.539298 0.269782 1.9990 0.0459573 *
fesisKansas.2020 1.009352 0.269533 3.7448 0.0001940 ***
fesisLouisiana.2011 -0.687474 0.156590 -4.3903 1.290e-05 ***
fesisLouisiana.2015 0.834426 0.170459 4.8952 1.197e-06 ***
fesisMinnesota.2007 -0.406514 0.128452 -3.1647 0.0016133 **
fesisNebraska.2018 0.533430 0.200752 2.6572 0.0080433 **
fesisNevada.2012 -0.505580 0.134318 -3.7641 0.0001799 ***
fesisNevada.2019 0.863720 0.214206 4.0322 6.075e-05 ***
fesisOregon.2004 -0.463734 0.197617 -2.3466 0.0191964 *
fesisRhodeIsland.2004 -0.818890 0.165307 -4.9538 8.950e-07 ***
fesisSouthCarolina.2008 0.609882 0.128370 4.7510 2.414e-06 ***
fesisSouthDakota.2004 1.232681 0.303093 4.0670 5.252e-05 ***
fesisSouthDakota.2005 -1.395488 0.302940 -4.6065 4.790e-06 ***
fesisSouthDakota.2008 1.364462 0.214553 6.3596 3.465e-10 ***
fesisSouthDakota.2011 -0.657022 0.185488 -3.5421 0.0004208 ***
fesisSouthDakota.2017 0.690828 0.283600 2.4359 0.0150794 *
fesisSouthDakota.2018 -0.867175 0.321275 -2.6992 0.0071036 **
fesisVermont.2010 0.529695 0.175093 3.0252 0.0025671 **
fesisVermont.2013 -0.715816 0.177988 -4.0217 6.346e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.85040 1 0.3564
Ljung-Box ARCH(1) 0.24407 1 0.6213
SE of regression 0.25914
R-squared 0.95651
Log-lik.(n=900) 2.78837 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:06:29 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.105834 0.032753 3.2313 0.0012964 **
lgdp -103.815412 16.169295 -6.4205 2.674e-10 ***
lpop 97.845638 12.656854 7.7306 4.247e-14 ***
lgdp_sq 2.668125 0.543113 4.9127 1.147e-06 ***
avg_temp 0.334449 0.094554 3.5371 0.0004342 ***
idCalifornia 1.985457 0.105291 18.8569 < 2.2e-16 ***
idColorado 0.268426 0.075588 3.5512 0.0004121 ***
idConnecticut 0.829043 0.104148 7.9602 8.024e-15 ***
idDelaware -0.167248 0.084536 -1.9784 0.0483155 *
idDistrictofColumbia -1.339633 0.124354 -10.7728 < 2.2e-16 ***
idFlorida 0.348714 0.076012 4.5876 5.411e-06 ***
idGeorgia -0.290547 0.076075 -3.8192 0.0001471 ***
idIdaho -1.296751 0.089674 -14.4607 < 2.2e-16 ***
idIllinois 0.360009 0.076257 4.7210 2.894e-06 ***
idIndiana -0.632898 0.078114 -8.1023 2.806e-15 ***
idIowa -1.899781 0.248970 -7.6306 8.677e-14 ***
idKentucky -1.411736 0.091848 -15.3703 < 2.2e-16 ***
idMaryland -0.352780 0.075845 -4.6513 4.021e-06 ***
idMassachusetts 0.960693 0.083352 11.5257 < 2.2e-16 ***
idMichigan 0.548375 0.077955 7.0345 5.230e-12 ***
idMinnesota 0.171717 0.075291 2.2807 0.0228991 *
idMissouri -0.874190 0.083289 -10.4959 < 2.2e-16 ***
idNevada -0.736082 0.092009 -8.0001 5.982e-15 ***
idNewHampshire -0.708018 0.079737 -8.8794 < 2.2e-16 ***
idNewJersey 0.250348 0.075598 3.3116 0.0009807 ***
idNewMexico -0.630875 0.077871 -8.1015 2.822e-15 ***
idNewYork 1.159430 0.087115 13.3092 < 2.2e-16 ***
idNorthCarolina 0.260055 0.075598 3.4400 0.0006202 ***
idOhio 0.550881 0.078215 7.0431 4.937e-12 ***
idOklahoma -1.068523 0.084429 -12.6559 < 2.2e-16 ***
idOregon 0.113832 0.176889 0.6435 0.5201175
idPennsylvania 0.608448 0.078663 7.7349 4.120e-14 ***
idRhodeIsland -0.520439 0.149197 -3.4883 0.0005200 ***
idSouthCarolina 0.052905 0.243826 0.2170 0.8282966
idTennessee -0.754443 0.081133 -9.2989 < 2.2e-16 ***
idTexas 0.739404 0.080093 9.2318 < 2.2e-16 ***
idUtah -0.792328 0.082853 -9.5630 < 2.2e-16 ***
idVirginia -0.033707 0.075847 -0.4444 0.6568964
idWashington 0.165583 0.075161 2.2030 0.0279527 *
idWisconsin -0.161904 0.084524 -1.9155 0.0558845 .
time2001 15.301947 2.906194 5.2653 1.923e-07 ***
time2002 14.496834 2.713466 5.3426 1.282e-07 ***
time2003 14.482583 2.547842 5.6843 2.010e-08 ***
time2004 14.173532 2.482453 5.7095 1.747e-08 ***
time2005 13.586621 2.196580 6.1854 1.115e-09 ***
time2006 12.258961 1.907942 6.4252 2.598e-10 ***
time2007 11.141715 1.657905 6.7204 4.063e-11 ***
time2008 9.495042 1.501186 6.3250 4.801e-10 ***
time2009 5.323158 1.107733 4.8055 1.932e-06 ***
time2010 4.941448 1.075190 4.5959 5.208e-06 ***
time2011 4.733189 1.012359 4.6754 3.591e-06 ***
time2012 3.620928 0.736298 4.9177 1.118e-06 ***
time2013 3.262085 0.763515 4.2725 2.232e-05 ***
time2014 1.389198 0.446762 3.1095 0.0019587 **
time2015 0.921829 0.350788 2.6279 0.0088012 **
time2016 0.205151 0.188950 1.0857 0.2780089
iis3 -0.749576 0.243360 -3.0801 0.0021594 **
iis104 -1.048679 0.256107 -4.0947 4.778e-05 ***
iis108 -0.772575 0.294143 -2.6265 0.0088358 **
iis151 0.761903 0.243274 3.1319 0.0018174 **
iis161 -0.791118 0.243605 -3.2475 0.0012259 **
iis222 0.871633 0.244188 3.5695 0.0003849 ***
iis246 -1.104148 0.243065 -4.5426 6.660e-06 ***
iis341 -0.991450 0.243912 -4.0648 5.416e-05 ***
iis378 -1.544534 0.290382 -5.3190 1.452e-07 ***
iis389 -0.724325 0.243225 -2.9780 0.0030128 **
iis522 0.736348 0.290924 2.5311 0.0116138 *
iis529 -0.585279 0.244369 -2.3951 0.0169084 *
iis579 -0.648977 0.244340 -2.6560 0.0081065 **
iis597 0.611699 0.246653 2.4800 0.0133986 *
iis603 -0.936556 0.243260 -3.8500 0.0001302 ***
iis656 -0.720975 0.243434 -2.9617 0.0031748 **
iis659 -0.898655 0.243609 -3.6889 0.0002447 ***
iis661 -0.963670 0.243707 -3.9542 8.550e-05 ***
fesisConnecticut.2009 -0.535558 0.109845 -4.8756 1.375e-06 ***
fesisDelaware.2014 -0.704518 0.118952 -5.9227 5.209e-09 ***
fesisDelaware.2020 -0.685162 0.256017 -2.6762 0.0076389 **
fesisDistrictofColumbia.2008 -0.756478 0.195735 -3.8648 0.0001227 ***
fesisDistrictofColumbia.2011 0.896411 0.196540 4.5610 6.120e-06 ***
fesisDistrictofColumbia.2017 -0.571399 0.256921 -2.2240 0.0265005 *
fesisDistrictofColumbia.2018 0.776637 0.273902 2.8355 0.0047229 **
fesisIowa.2002 0.535750 0.243993 2.1958 0.0284728 *
fesisMissouri.2020 0.521195 0.243707 2.1386 0.0328511 *
fesisNevada.2012 -0.454328 0.121721 -3.7325 0.0002067 ***
fesisNevada.2018 0.885752 0.193584 4.5756 5.722e-06 ***
fesisOregon.2004 -0.388376 0.179816 -2.1599 0.0311608 *
fesisRhodeIsland.2004 -0.735325 0.150380 -4.8898 1.283e-06 ***
fesisSouthCarolina.2002 -0.671201 0.256316 -2.6186 0.0090403 **
fesisSouthCarolina.2008 0.760323 0.120870 6.2904 5.924e-10 ***
fesisWisconsin.2014 0.377387 0.111766 3.3766 0.0007791 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.497443 1 0.4806
Ljung-Box ARCH(1) 0.032508 1 0.8569
SE of regression 0.23353
R-squared 0.95319
Log-lik.(n=720) 70.56918 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:50:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.0292e-01 2.4855e-02 24.2579 < 2.2e-16 ***
lgdp 4.3358e+02 5.5343e+01 7.8344 1.297e-14 ***
lpop -3.1823e+02 3.4082e+01 -9.3369 < 2.2e-16 ***
lgdp_sq -1.7238e+01 3.3042e+00 -5.2169 2.249e-07 ***
avg_temp -3.0570e-01 1.3549e+00 -0.2256 0.8215440
idAlaska -1.0850e+00 1.7630e+00 -0.6154 0.5384368
idArizona 6.8648e+00 1.8160e+00 3.7802 0.0001668 ***
idArkansas -3.3404e-01 1.7617e+00 -0.1896 0.8496508
idCalifornia -5.6185e+01 7.2052e+00 -7.7978 1.704e-14 ***
idColorado 1.0741e+01 1.8846e+00 5.6996 1.617e-08 ***
idConnecticut 1.3403e+01 1.9701e+00 6.8033 1.842e-11 ***
idDelaware 4.1195e+00 1.7830e+00 2.3104 0.0210842 *
idDistrictofColumbia 2.3088e-01 1.7615e+00 0.1311 0.8957494
idFlorida 1.1375e+01 1.8974e+00 5.9951 2.920e-09 ***
idGeorgia 3.5082e+00 1.8185e+00 1.9292 0.0540104 .
idHawaii -5.5834e-02 1.7615e+00 -0.0317 0.9747208
idIdaho 4.2025e-01 1.7616e+00 0.2386 0.8115013
idIllinois 1.0966e+01 1.8991e+00 5.7742 1.057e-08 ***
idIndiana 2.6099e+00 1.7687e+00 1.4756 0.1403880
idIowa 3.6037e-01 1.7616e+00 0.2046 0.8379506
idKansas -5.0278e-02 1.7615e+00 -0.0285 0.9772354
idKentucky 1.2799e-01 1.7615e+00 0.0727 0.9420939
idLouisiana 7.7636e-02 1.7615e+00 0.0441 0.9648544
idMaine 2.2282e-01 1.7615e+00 0.1265 0.8993673
idMaryland 4.1364e+00 1.7797e+00 2.3242 0.0203315 *
idMassachusetts 1.9592e+01 2.3668e+00 8.2779 4.389e-16 ***
idMichigan 1.6090e+01 2.0117e+00 7.9983 3.780e-15 ***
idMinnesota 8.7953e+00 1.8498e+00 4.7548 2.305e-06 ***
idMississippi -7.8571e-01 1.7624e+00 -0.4458 0.6558328
idMissouri 1.6491e+00 1.7641e+00 0.9348 0.3501551
idMontana -6.2543e-01 1.7620e+00 -0.3550 0.7227019
idNebraska -3.1543e-01 1.7617e+00 -0.1790 0.8579391
idNevada 1.5451e+00 1.7643e+00 0.8758 0.3813753
idNewHampshire 1.9167e+00 1.7671e+00 1.0847 0.2783524
idNewJersey 8.5328e+00 1.8933e+00 4.5069 7.428e-06 ***
idNewMexico 2.5894e+00 1.7693e+00 1.4635 0.1436776
idNewYork 3.4890e+01 2.8280e+00 12.3374 < 2.2e-16 ***
idNorthCarolina 9.9066e+00 1.8696e+00 5.2989 1.459e-07 ***
idNorthDakota -7.5293e-01 1.7623e+00 -0.4272 0.6693092
idOhio 1.2795e+01 2.0175e+00 6.3419 3.554e-10 ***
idOklahoma 1.0447e+00 1.7624e+00 0.5928 0.5534690
idOregon 5.0704e+00 1.7914e+00 2.8305 0.0047494 **
idPennsylvania 1.3255e+01 2.0811e+00 6.3694 2.995e-10 ***
idRhodeIsland 6.8777e-01 1.7621e+00 0.3903 0.6963977
idSouthCarolina 7.6944e+00 1.8253e+00 4.2155 2.738e-05 ***
idSouthDakota 2.0902e-03 1.7615e+00 0.0012 0.9990535
idTennessee 2.1958e+00 1.7663e+00 1.2432 0.2141235
idTexas 1.7013e+01 2.1359e+00 7.9651 4.864e-15 ***
idUtah 1.9044e+00 1.7655e+00 1.0786 0.2810291
idVermont -6.2903e-03 1.7615e+00 -0.0036 0.9971515
idVirginia 6.7309e+00 1.8109e+00 3.7169 0.0002139 ***
idWashington 8.9484e+00 1.8483e+00 4.8415 1.511e-06 ***
idWestVirginia -7.1453e-01 1.7621e+00 -0.4055 0.6852098
idWisconsin 6.8605e+00 1.8106e+00 3.7890 0.0001611 ***
idWyoming -5.5557e-01 1.7619e+00 -0.3153 0.7525838
time2001 -2.7119e+01 8.6322e+00 -3.1416 0.0017341 **
time2002 -2.5349e+01 8.0042e+00 -3.1670 0.0015909 **
time2003 -2.5283e+01 6.9398e+00 -3.6432 0.0002844 ***
time2004 -2.3571e+01 4.9415e+00 -4.7701 2.141e-06 ***
time2005 -2.0402e+01 3.7926e+00 -5.3795 9.480e-08 ***
time2006 -1.5350e+01 3.0567e+00 -5.0216 6.153e-07 ***
time2007 -1.1553e+01 2.6561e+00 -4.3494 1.518e-05 ***
time2008 -8.0488e+00 3.2803e+00 -2.4537 0.0143243 *
time2009 -2.8195e+00 3.8738e+00 -0.7278 0.4669081
time2010 -2.5196e+00 3.4790e+00 -0.7242 0.4691160
time2011 -3.1080e+00 2.5420e+00 -1.2227 0.2217753
time2012 -1.2883e+00 2.3251e+00 -0.5541 0.5796609
time2013 -2.0351e+00 3.1127e+00 -0.6538 0.5134095
time2014 -5.6511e+00 3.7855e+00 -1.4928 0.1358279
time2015 -4.2685e-01 1.8183e+00 -0.2347 0.8144573
time2016 -2.1486e+00 1.6631e+00 -1.2919 0.1967019
iis81 1.0896e+02 8.3814e+00 13.0002 < 2.2e-16 ***
iis82 8.6520e+01 8.2019e+00 10.5488 < 2.2e-16 ***
iis83 9.2518e+01 8.2447e+00 11.2216 < 2.2e-16 ***
iis84 1.2134e+02 8.2326e+00 14.7393 < 2.2e-16 ***
iis85 1.2915e+02 8.0736e+00 15.9966 < 2.2e-16 ***
iis86 2.0389e+02 7.9912e+00 25.5148 < 2.2e-16 ***
iis87 1.7951e+02 8.0989e+00 22.1648 < 2.2e-16 ***
iis88 2.0917e+02 8.2677e+00 25.2993 < 2.2e-16 ***
iis89 2.1307e+02 8.6613e+00 24.5997 < 2.2e-16 ***
iis90 1.6166e+02 9.0146e+00 17.9332 < 2.2e-16 ***
iis91 1.7122e+02 8.6701e+00 19.7477 < 2.2e-16 ***
iis92 1.6316e+02 8.5797e+00 19.0166 < 2.2e-16 ***
iis93 1.6523e+02 8.4689e+00 19.5099 < 2.2e-16 ***
iis94 1.1198e+02 8.4108e+00 13.3139 < 2.2e-16 ***
iis95 1.4418e+02 8.0658e+00 17.8760 < 2.2e-16 ***
iis96 1.4595e+02 8.0584e+00 18.1115 < 2.2e-16 ***
iis97 1.1767e+02 8.0609e+00 14.5982 < 2.2e-16 ***
iis98 1.3536e+02 7.9793e+00 16.9638 < 2.2e-16 ***
iis99 1.1028e+02 7.9809e+00 13.8177 < 2.2e-16 ***
iis211 2.7836e+01 5.7771e+00 4.8183 1.693e-06 ***
iis426 2.8891e+01 5.7907e+00 4.9892 7.249e-07 ***
iis428 4.7837e+01 5.7811e+00 8.2747 4.499e-16 ***
iis453 -2.0389e+01 5.8091e+00 -3.5099 0.0004700 ***
iis613 2.5215e+01 5.7757e+00 4.3657 1.411e-05 ***
iis713 2.5637e+01 5.7787e+00 4.4364 1.026e-05 ***
iis767 3.2004e+01 5.7811e+00 5.5360 4.037e-08 ***
iis770 2.6024e+01 5.7841e+00 4.4992 7.694e-06 ***
iis869 2.8137e+01 5.7744e+00 4.8728 1.296e-06 ***
fesisNewYork.2012 -1.0138e+01 2.6148e+00 -3.8772 0.0001132 ***
fesisNewYork.2020 -3.2322e+01 5.9868e+00 -5.3989 8.537e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 28.34 1 1.018e-07 ***
Ljung-Box ARCH(1) 19.89 1 8.205e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.57026
R-squared 0.97812
Log-lik.(n=1020) -3148.60778 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:54:30 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.9079e-01 2.7303e-02 21.6380 < 2.2e-16 ***
lgdp 4.8999e+02 6.2857e+01 7.7953 1.980e-14 ***
lpop -3.5937e+02 3.8722e+01 -9.2808 < 2.2e-16 ***
lgdp_sq -1.9520e+01 3.7520e+00 -5.2024 2.496e-07 ***
avg_temp -2.9480e-01 1.5384e+00 -0.1916 0.8480810
idArizona 7.0803e+00 1.9378e+00 3.6537 0.0002752 ***
idArkansas -3.4721e-01 1.8764e+00 -0.1850 0.8532420
idCalifornia -5.2790e+01 7.7725e+00 -6.7919 2.147e-11 ***
idColorado 1.1068e+01 2.0154e+00 5.4920 5.327e-08 ***
idConnecticut 1.3833e+01 2.1117e+00 6.5508 1.018e-10 ***
idDelaware 4.2543e+00 1.9005e+00 2.2385 0.0254623 *
idDistrictofColumbia 2.3564e-01 1.8762e+00 0.1256 0.9000839
idFlorida 1.1719e+01 2.0298e+00 5.7735 1.107e-08 ***
idGeorgia 3.6916e+00 1.9395e+00 1.9034 0.0573435 .
idHawaii -6.0975e-02 1.8762e+00 -0.0325 0.9740817
idIdaho 4.3095e-01 1.8763e+00 0.2297 0.8184001
idIllinois 1.1312e+01 2.0317e+00 5.5678 3.514e-08 ***
idIndiana 2.6877e+00 1.8843e+00 1.4263 0.1541553
idIowa 3.6883e-01 1.8762e+00 0.1966 0.8442070
idKansas -5.5123e-02 1.8762e+00 -0.0294 0.9765685
idKentucky 1.3139e-01 1.8762e+00 0.0700 0.9441877
idLouisiana 7.9117e-02 1.8762e+00 0.0422 0.9663738
idMaine 2.2512e-01 1.8762e+00 0.1200 0.9045211
idMaryland 4.2604e+00 1.8968e+00 2.2461 0.0249674 *
idMassachusetts 2.0362e+01 2.5540e+00 7.9724 5.310e-15 ***
idMichigan 1.6547e+01 2.1578e+00 7.6685 5.008e-14 ***
idMinnesota 9.0708e+00 1.9760e+00 4.5904 5.128e-06 ***
idMissouri 1.6965e+00 1.8792e+00 0.9028 0.3669218
idNebraska -3.2850e-01 1.8764e+00 -0.1751 0.8610696
idNevada 1.5935e+00 1.8793e+00 0.8479 0.3967448
idNewHampshire 1.9852e+00 1.8825e+00 1.0546 0.2919406
idNewJersey 8.8446e+00 2.0241e+00 4.3695 1.408e-05 ***
idNewMexico 2.6705e+00 1.8850e+00 1.4167 0.1569540
idNewYork 3.1481e+01 2.8239e+00 11.1483 < 2.2e-16 ***
idNorthCarolina 1.0212e+01 1.9984e+00 5.1103 4.019e-07 ***
idOhio 1.3257e+01 2.1643e+00 6.1256 1.411e-09 ***
idOklahoma 1.0729e+00 1.8772e+00 0.5715 0.5677874
idOregon 5.2294e+00 1.9100e+00 2.7379 0.0063192 **
idPennsylvania 1.5151e+01 2.2155e+00 6.8389 1.576e-11 ***
idRhodeIsland 7.1083e-01 1.8769e+00 0.3787 0.7049885
idSouthCarolina 7.9278e+00 1.9483e+00 4.0690 5.185e-05 ***
idSouthDakota -5.1859e-04 1.8762e+00 -0.0003 0.9997795
idTennessee 2.2593e+00 1.8816e+00 1.2008 0.2301967
idTexas 1.7619e+01 2.2973e+00 7.6697 4.965e-14 ***
idUtah 1.9627e+00 1.8807e+00 1.0436 0.2969827
idVermont -7.6279e-03 1.8762e+00 -0.0041 0.9967571
idVirginia 6.9360e+00 1.9321e+00 3.5898 0.0003509 ***
idWashington 9.2216e+00 1.9744e+00 4.6707 3.516e-06 ***
idWisconsin 7.0649e+00 1.9318e+00 3.6572 0.0002715 ***
time2001 -3.0626e+01 9.8011e+00 -3.1247 0.0018433 **
time2002 -2.8706e+01 9.0880e+00 -3.1587 0.0016438 **
time2003 -2.8525e+01 7.8794e+00 -3.6202 0.0003128 ***
time2004 -2.6447e+01 5.6105e+00 -4.7137 2.864e-06 ***
time2005 -2.2836e+01 4.3059e+00 -5.3035 1.468e-07 ***
time2006 -1.7339e+01 3.4701e+00 -4.9967 7.155e-07 ***
time2007 -1.2778e+01 3.0150e+00 -4.2380 2.516e-05 ***
time2008 -8.8037e+00 3.7240e+00 -2.3641 0.0183113 *
time2009 -2.9350e+00 4.3985e+00 -0.6673 0.5047857
time2010 -1.9164e+00 3.9487e+00 -0.4853 0.6275874
time2011 -3.2455e+00 2.8882e+00 -1.1237 0.2614696
time2012 -1.3768e+00 2.6420e+00 -0.5211 0.6024290
time2013 -2.1278e+00 3.5361e+00 -0.6017 0.5475180
time2014 -6.2346e+00 4.2986e+00 -1.4504 0.1473436
time2015 -5.1731e-01 2.0646e+00 -0.2506 0.8022199
time2016 -2.4202e+00 1.8885e+00 -1.2815 0.2003714
iis61 1.0661e+02 8.9589e+00 11.8996 < 2.2e-16 ***
iis62 8.4403e+01 8.7587e+00 9.6365 < 2.2e-16 ***
iis63 9.0396e+01 8.8077e+00 10.2633 < 2.2e-16 ***
iis64 1.1903e+02 8.7941e+00 13.5354 < 2.2e-16 ***
iis65 1.2707e+02 8.6169e+00 14.7470 < 2.2e-16 ***
iis66 2.0221e+02 8.5254e+00 23.7186 < 2.2e-16 ***
iis67 1.7856e+02 8.6468e+00 20.6503 < 2.2e-16 ***
iis68 2.0856e+02 8.8342e+00 23.6081 < 2.2e-16 ***
iis69 2.1281e+02 9.2727e+00 22.9499 < 2.2e-16 ***
iis70 1.6134e+02 9.6606e+00 16.7004 < 2.2e-16 ***
iis71 1.7135e+02 9.2769e+00 18.4705 < 2.2e-16 ***
iis72 1.6324e+02 9.1781e+00 17.7854 < 2.2e-16 ***
iis73 1.6528e+02 9.0552e+00 18.2530 < 2.2e-16 ***
iis74 1.1256e+02 8.9903e+00 12.5196 < 2.2e-16 ***
iis75 1.4357e+02 8.6085e+00 16.6781 < 2.2e-16 ***
iis76 1.4558e+02 8.5998e+00 16.9287 < 2.2e-16 ***
iis77 1.1710e+02 8.6037e+00 13.6109 < 2.2e-16 ***
iis78 1.3456e+02 8.5114e+00 15.8099 < 2.2e-16 ***
iis79 1.0961e+02 8.5134e+00 12.8744 < 2.2e-16 ***
iis191 2.7454e+01 6.1632e+00 4.4545 9.596e-06 ***
iis406 2.8658e+01 6.1764e+00 4.6400 4.065e-06 ***
iis408 4.7382e+01 6.1660e+00 7.6843 4.463e-14 ***
iis433 -2.0162e+01 6.1963e+00 -3.2538 0.0011861 **
iis553 2.5123e+01 6.1611e+00 4.0776 5.000e-05 ***
iis633 2.5468e+01 6.1652e+00 4.1309 3.991e-05 ***
iis687 3.0209e+01 6.1574e+00 4.9061 1.124e-06 ***
iis789 2.7517e+01 6.1586e+00 4.4681 9.017e-06 ***
fesisNewYork.2020 -3.7069e+01 6.1781e+00 -6.0001 2.976e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 21.90 1 2.873e-06 ***
Ljung-Box ARCH(1) 12.44 1 0.0004202 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.93291
R-squared 0.97734
Log-lik.(n=900) -2833.00785 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:55:08 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.5925e-01 3.2113e-02 17.4153 < 2.2e-16 ***
lgdp -1.0907e+03 4.5240e+02 -2.4110 0.0161903 *
lpop 1.0526e+03 3.5412e+02 2.9725 0.0030652 **
lgdp_sq 2.6632e+01 1.5194e+01 1.7528 0.0801104 .
avg_temp 3.2913e+00 2.6438e+00 1.2449 0.2136216
idCalifornia -5.2208e+01 8.4907e+00 -6.1488 1.376e-09 ***
idColorado 4.2780e+00 2.0985e+00 2.0386 0.0418983 *
idConnecticut 7.3124e+00 2.1542e+00 3.3944 0.0007302 ***
idDelaware -3.0359e+00 2.0886e+00 -1.4536 0.1465537
idDistrictofColumbia -7.3926e+00 2.1512e+00 -3.4365 0.0006276 ***
idFlorida 4.9735e+00 2.1054e+00 2.3623 0.0184599 *
idGeorgia -3.4899e+00 2.1088e+00 -1.6549 0.0984261 .
idIdaho -7.1818e+00 2.1472e+00 -3.3447 0.0008718 ***
idIllinois 4.5718e+00 2.1063e+00 2.1706 0.0303323 *
idIndiana -4.7507e+00 2.1094e+00 -2.2522 0.0246493 *
idIowa -7.2497e+00 2.1487e+00 -3.3740 0.0007856 ***
idKentucky -7.5004e+00 2.1522e+00 -3.4850 0.0005257 ***
idMaryland -3.0577e+00 2.0917e+00 -1.4619 0.1442719
idMassachusetts 1.4712e+01 2.5529e+00 5.7629 1.286e-08 ***
idMichigan 1.0191e+01 2.1981e+00 4.6361 4.307e-06 ***
idMinnesota 2.1467e+00 2.0837e+00 1.0303 0.3032762
idMissouri -5.8209e+00 2.1247e+00 -2.7396 0.0063235 **
idNevada -5.9214e+00 2.1242e+00 -2.7876 0.0054684 **
idNewHampshire -5.4772e+00 2.1137e+00 -2.5913 0.0097811 **
idNewJersey 3.2590e+00 2.0918e+00 1.5580 0.1197279
idNewMexico -4.7589e+00 2.1078e+00 -2.2578 0.0242976 *
idNewYork 2.7618e+01 2.8943e+00 9.5422 < 2.2e-16 ***
idNorthCarolina 3.3667e+00 2.0913e+00 1.6098 0.1079259
idOhio 8.0713e+00 2.1716e+00 3.7167 0.0002195 ***
idOklahoma -6.4944e+00 2.1360e+00 -3.0405 0.0024587 **
idOregon -1.9977e+00 2.0830e+00 -0.9591 0.3378952
idPennsylvania 8.8269e+00 2.2411e+00 3.9387 9.093e-05 ***
idRhodeIsland -6.8698e+00 2.1392e+00 -3.2114 0.0013870 **
idSouthCarolina 8.9414e-01 2.0782e+00 0.4303 0.6671539
idTennessee -5.2159e+00 2.1162e+00 -2.4648 0.0139716 *
idTexas 1.2851e+01 2.2858e+00 5.6221 2.821e-08 ***
idUtah -5.5261e+00 2.1188e+00 -2.6081 0.0093188 **
idVirginia -1.7128e-01 2.0778e+00 -0.0824 0.9343281
idWashington 2.2913e+00 2.0832e+00 1.0999 0.2717911
idWisconsin -4.4037e-02 2.0778e+00 -0.0212 0.9830975
time2001 1.5626e+02 8.1287e+01 1.9223 0.0550070 .
time2002 1.4906e+02 7.5897e+01 1.9639 0.0499692 *
time2003 1.4906e+02 7.1268e+01 2.0915 0.0368778 *
time2004 1.4710e+02 6.9439e+01 2.1184 0.0345296 *
time2005 1.4225e+02 6.1444e+01 2.3152 0.0209202 *
time2006 1.2902e+02 5.3371e+01 2.4175 0.0159085 *
time2007 1.1811e+02 4.6378e+01 2.5467 0.0111081 *
time2008 1.0027e+02 4.1994e+01 2.3878 0.0172385 *
time2009 5.4572e+01 3.0981e+01 1.7615 0.0786344 .
time2010 4.9982e+01 3.0074e+01 1.6620 0.0970111 .
time2011 4.5670e+01 2.8320e+01 1.6126 0.1073157
time2012 3.5120e+01 2.0597e+01 1.7051 0.0886636 .
time2013 3.1939e+01 2.1356e+01 1.4956 0.1352594
time2014 8.0952e+00 1.2493e+01 0.6480 0.5172231
time2015 7.4091e+00 9.8018e+00 0.7559 0.4499955
time2016 -2.0212e+00 5.2738e+00 -0.3833 0.7016597
iis21 1.0140e+02 1.0000e+01 10.1397 < 2.2e-16 ***
iis22 7.9396e+01 9.7546e+00 8.1393 2.082e-15 ***
iis23 8.5658e+01 9.8205e+00 8.7223 < 2.2e-16 ***
iis24 1.1395e+02 9.8025e+00 11.6241 < 2.2e-16 ***
iis25 1.2293e+02 9.5857e+00 12.8247 < 2.2e-16 ***
iis26 1.9815e+02 9.4735e+00 20.9165 < 2.2e-16 ***
iis27 1.7770e+02 9.6175e+00 18.4766 < 2.2e-16 ***
iis28 2.0804e+02 9.8451e+00 21.1316 < 2.2e-16 ***
iis29 2.1286e+02 1.0369e+01 20.5289 < 2.2e-16 ***
iis30 1.6282e+02 1.0837e+01 15.0248 < 2.2e-16 ***
iis31 1.7264e+02 1.0363e+01 16.6594 < 2.2e-16 ***
iis32 1.6425e+02 1.0249e+01 16.0258 < 2.2e-16 ***
iis33 1.6419e+02 1.0106e+01 16.2458 < 2.2e-16 ***
iis34 1.1411e+02 1.0024e+01 11.3840 < 2.2e-16 ***
iis35 1.4241e+02 9.5708e+00 14.8800 < 2.2e-16 ***
iis36 1.4539e+02 9.5594e+00 15.2090 < 2.2e-16 ***
iis37 1.1600e+02 9.5693e+00 12.1217 < 2.2e-16 ***
iis38 1.3221e+02 9.4521e+00 13.9875 < 2.2e-16 ***
iis39 1.0769e+02 9.4546e+00 11.3903 < 2.2e-16 ***
iis151 2.6816e+01 6.8501e+00 3.9147 0.0001002 ***
iis286 2.7779e+01 6.8601e+00 4.0494 5.766e-05 ***
iis288 4.6671e+01 6.8487e+00 6.8146 2.190e-11 ***
iis313 -2.1516e+01 6.8798e+00 -3.1274 0.0018439 **
iis547 3.0160e+01 6.8391e+00 4.4099 1.213e-05 ***
fesisNewYork.2018 -2.1651e+01 4.1934e+00 -5.1630 3.249e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 17.127 1 3.496e-05 ***
Ljung-Box ARCH(1) 15.648 1 7.629e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.56998
R-squared 0.97631
Log-lik.(n=720) -2336.54319 0.05
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:50:35 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.9379e-01 2.3589e-02 25.1722 < 2.2e-16 ***
lgdp 3.6680e+02 5.0179e+01 7.3098 5.915e-13 ***
lpop -3.0350e+02 3.0479e+01 -9.9579 < 2.2e-16 ***
lgdp_sq -1.2159e+01 3.0190e+00 -4.0276 6.111e-05 ***
avg_temp -1.3271e+00 1.2141e+00 -1.0931 0.2746581
idAlaska -1.1121e+00 1.5714e+00 -0.7077 0.4792998
idArizona 7.0269e+00 1.6248e+00 4.3249 1.697e-05 ***
idArkansas -3.4395e-01 1.5700e+00 -0.2191 0.8266396
idCalifornia -5.5266e+01 6.5792e+00 -8.4002 < 2.2e-16 ***
idColorado 1.0987e+01 1.6937e+00 6.4872 1.443e-10 ***
idConnecticut 2.0526e+01 2.2961e+00 8.9396 < 2.2e-16 ***
idDelaware 4.2209e+00 1.5915e+00 2.6521 0.0081401 **
idDistrictofColumbia 2.3446e-01 1.5698e+00 0.1494 0.8813073
idFlorida 1.1634e+01 1.7065e+00 6.8173 1.701e-11 ***
idGeorgia 3.6096e+00 1.6245e+00 2.2220 0.0265318 *
idHawaii -5.9702e-02 1.5698e+00 -0.0380 0.9696712
idIdaho 4.2830e-01 1.5699e+00 0.2728 0.7850599
idIllinois 1.1226e+01 1.7082e+00 6.5720 8.407e-11 ***
idIndiana 2.6684e+00 1.5771e+00 1.6920 0.0909909 .
idIowa 3.6673e-01 1.5699e+00 0.2336 0.8153434
idKansas -5.3924e-02 1.5698e+00 -0.0344 0.9726056
idKentucky 1.3054e-01 1.5698e+00 0.0832 0.9337430
idLouisiana 7.8750e-02 1.5698e+00 0.0502 0.9600013
idMaine 2.2455e-01 1.5698e+00 0.1430 0.8862877
idMaryland 4.2297e+00 1.5882e+00 2.6632 0.0078789 **
idMassachusetts 2.1536e+01 2.1931e+00 9.8202 < 2.2e-16 ***
idMichigan 1.8140e+01 2.0892e+00 8.6827 < 2.2e-16 ***
idMinnesota 9.0026e+00 1.6588e+00 5.4273 7.361e-08 ***
idMississippi -8.0664e-01 1.5707e+00 -0.5135 0.6076961
idMissouri 1.6847e+00 1.5725e+00 1.0714 0.2842926
idMontana -6.4105e-01 1.5703e+00 -0.4082 0.6832012
idNebraska -3.2526e-01 1.5700e+00 -0.2072 0.8359225
idNevada 1.5815e+00 1.5726e+00 1.0057 0.3148548
idNewHampshire 1.9682e+00 1.5754e+00 1.2493 0.2118728
idNewJersey 1.0835e+01 1.9131e+00 5.6637 1.994e-08 ***
idNewMexico 2.6504e+00 1.5777e+00 1.6799 0.0933199 .
idNewYork 2.0450e+01 3.5932e+00 5.6914 1.705e-08 ***
idNorthCarolina 1.0137e+01 1.6786e+00 6.0387 2.273e-09 ***
idNorthDakota -7.7310e-01 1.5707e+00 -0.4922 0.6226874
idOhio 1.3380e+01 2.0548e+00 6.5116 1.236e-10 ***
idOklahoma 1.0659e+00 1.5708e+00 0.6786 0.4975522
idOregon 5.1900e+00 1.6000e+00 3.2438 0.0012229 **
idPennsylvania 1.3573e+01 1.8844e+00 7.2027 1.249e-12 ***
idRhodeIsland 7.0512e-01 1.5704e+00 0.4490 0.6535436
idSouthCarolina 6.8203e+00 1.6531e+00 4.1258 4.039e-05 ***
idSouthDakota 1.2724e-04 1.5698e+00 0.0001 0.9999353
idTennessee 2.2436e+00 1.5747e+00 1.4248 0.1545542
idTexas 1.3536e+01 2.3116e+00 5.8556 6.661e-09 ***
idUtah 1.9483e+00 1.5739e+00 1.2379 0.2160825
idVermont -7.2968e-03 1.5698e+00 -0.0046 0.9962923
idVirginia 6.8852e+00 1.6197e+00 4.2510 2.351e-05 ***
idWashington 8.3212e+00 2.1325e+00 3.9022 0.0001025 ***
idWestVirginia -7.3220e-01 1.5705e+00 -0.4662 0.6411630
idWisconsin 7.0143e+00 1.6194e+00 4.3315 1.648e-05 ***
idWyoming -5.6942e-01 1.5702e+00 -0.3626 0.7169589
time2001 -1.4720e+01 7.8804e+00 -1.8679 0.0621038 .
time2002 -1.3562e+01 7.3167e+00 -1.8536 0.0641224 .
time2003 -1.5704e+01 6.3206e+00 -2.4845 0.0131545 *
time2004 -1.7707e+01 4.4972e+00 -3.9372 8.880e-05 ***
time2005 -1.6464e+01 3.4343e+00 -4.7941 1.912e-06 ***
time2006 -1.1615e+01 2.7830e+00 -4.1736 3.290e-05 ***
time2007 -9.1374e+00 2.4221e+00 -3.7726 0.0001722 ***
time2008 -6.6201e+00 2.9472e+00 -2.2462 0.0249312 *
time2009 8.2012e-02 3.5016e+00 0.0234 0.9813193
time2010 -5.2342e-01 3.1242e+00 -0.1675 0.8669848
time2011 -1.0183e+00 2.3033e+00 -0.4421 0.6585025
time2012 2.0564e+00 2.1253e+00 0.9676 0.3335174
time2013 -2.0316e+00 2.7782e+00 -0.7313 0.4647992
time2014 -5.1548e+00 3.3751e+00 -1.5273 0.1270377
time2015 1.8808e+00 1.6593e+00 1.1334 0.2573311
time2016 5.2134e-01 1.5181e+00 0.3434 0.7313660
iis81 1.0890e+02 7.5288e+00 14.4641 < 2.2e-16 ***
iis82 8.6651e+01 7.3441e+00 11.7988 < 2.2e-16 ***
iis83 9.2220e+01 7.3862e+00 12.4854 < 2.2e-16 ***
iis84 1.2156e+02 7.3760e+00 16.4804 < 2.2e-16 ***
iis85 1.2914e+02 7.2127e+00 17.9048 < 2.2e-16 ***
iis86 2.0409e+02 7.1284e+00 28.6303 < 2.2e-16 ***
iis87 1.8141e+02 7.2348e+00 25.0747 < 2.2e-16 ***
iis88 2.1129e+02 7.4066e+00 28.5276 < 2.2e-16 ***
iis89 2.1596e+02 7.7984e+00 27.6932 < 2.2e-16 ***
iis90 1.6427e+02 8.1541e+00 20.1455 < 2.2e-16 ***
iis91 1.7365e+02 7.8091e+00 22.2363 < 2.2e-16 ***
iis92 1.6481e+02 7.7214e+00 21.3451 < 2.2e-16 ***
iis93 1.6707e+02 7.6083e+00 21.9591 < 2.2e-16 ***
iis94 1.1306e+02 7.5512e+00 14.9718 < 2.2e-16 ***
iis95 1.4508e+02 7.2012e+00 20.1461 < 2.2e-16 ***
iis96 1.4627e+02 7.1926e+00 20.3367 < 2.2e-16 ***
iis97 1.1953e+02 7.1962e+00 16.6105 < 2.2e-16 ***
iis98 1.3544e+02 7.1132e+00 19.0399 < 2.2e-16 ***
iis99 1.1036e+02 7.1149e+00 15.5115 < 2.2e-16 ***
iis211 2.8280e+01 5.1501e+00 5.4911 5.200e-08 ***
iis426 2.7176e+01 5.1715e+00 5.2550 1.850e-07 ***
iis428 4.7077e+01 5.1609e+00 9.1218 < 2.2e-16 ***
iis449 2.2147e+01 5.2407e+00 4.2260 2.622e-05 ***
iis453 -1.3941e+01 5.4071e+00 -2.5783 0.0100862 *
iis613 2.8879e+01 5.3643e+00 5.3835 9.332e-08 ***
iis641 2.0478e+01 5.8218e+00 3.5175 0.0004575 ***
iis642 1.8375e+01 5.7919e+00 3.1725 0.0015626 **
iis644 2.4949e+01 5.7981e+00 4.3030 1.870e-05 ***
iis653 1.8765e+01 6.1496e+00 3.0514 0.0023448 **
iis655 1.6508e+01 6.1699e+00 2.6755 0.0075970 **
iis657 3.3404e+01 5.6160e+00 5.9479 3.887e-09 ***
iis707 2.0685e+01 5.2391e+00 3.9482 8.488e-05 ***
iis713 3.2191e+01 5.4263e+00 5.9324 4.259e-09 ***
iis717 2.1925e+01 5.4242e+00 4.0421 5.752e-05 ***
iis767 3.2742e+01 5.1536e+00 6.3531 3.349e-10 ***
iis770 2.6533e+01 5.1563e+00 5.1457 3.274e-07 ***
iis817 2.0996e+01 5.1481e+00 4.0783 4.938e-05 ***
iis869 1.3154e+01 6.1446e+00 2.1407 0.0325664 *
iis951 2.2253e+01 5.2637e+00 4.2277 2.603e-05 ***
fesisConnecticut.2009 -1.1333e+01 2.3000e+00 -4.9273 9.928e-07 ***
fesisMassachusetts.2020 -2.5343e+01 5.1642e+00 -4.9075 1.095e-06 ***
fesisMichigan.2013 -7.8185e+00 2.4307e+00 -3.2166 0.0013437 **
fesisNewJersey.2013 -5.6367e+00 2.3875e+00 -2.3609 0.0184458 *
fesisNewYork.2007 2.1208e+01 3.6665e+00 5.7844 1.005e-08 ***
fesisNewYork.2012 -2.1769e+01 4.2050e+00 -5.1770 2.784e-07 ***
fesisNewYork.2016 -1.0890e+01 4.3892e+00 -2.4811 0.0132786 *
fesisOhio.2013 -6.7539e+00 2.5509e+00 -2.6476 0.0082481 **
fesisTexas.2008 1.9906e+01 4.0650e+00 4.8968 1.155e-06 ***
fesisTexas.2011 -1.6559e+01 3.8861e+00 -4.2610 2.250e-05 ***
fesisWashington.2009 2.0353e+01 5.3215e+00 3.8246 0.0001400 ***
fesisWashington.2010 -2.2712e+01 5.2648e+00 -4.3139 1.782e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 25.238 1 5.066e-07 ***
Ljung-Box ARCH(1) 11.475 1 0.0007056 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.96412
R-squared 0.98302
Log-lik.(n=1020) -3020.59860 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:54:29 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.8633e-01 2.6634e-02 22.0145 < 2.2e-16 ***
lgdp 4.6931e+02 5.9566e+01 7.8789 1.083e-14 ***
lpop -3.7459e+02 3.6157e+01 -10.3599 < 2.2e-16 ***
lgdp_sq -1.6608e+01 3.5876e+00 -4.6294 4.281e-06 ***
avg_temp -1.0911e+00 1.4507e+00 -0.7521 0.4522032
idArizona 7.1596e+00 1.8241e+00 3.9250 9.423e-05 ***
idArkansas -3.5206e-01 1.7619e+00 -0.1998 0.8416733
idCalifornia -5.1969e+01 7.4155e+00 -7.0081 5.151e-12 ***
idColorado 1.1189e+01 1.9023e+00 5.8816 5.980e-09 ***
idConnecticut 1.3992e+01 1.9993e+00 6.9984 5.501e-12 ***
idDelaware 4.3039e+00 1.7863e+00 2.4093 0.0162078 *
idDistrictofColumbia 2.3739e-01 1.7617e+00 0.1348 0.8928413
idFlorida 1.1846e+01 1.9169e+00 6.1797 1.025e-09 ***
idGeorgia 3.7298e+00 1.8239e+00 2.0450 0.0411871 *
idHawaii -6.2868e-02 1.7617e+00 -0.0357 0.9715415
idIdaho 4.3488e-01 1.7618e+00 0.2468 0.8050952
idIllinois 1.1439e+01 1.9188e+00 5.9618 3.748e-09 ***
idIndiana 2.7163e+00 1.7699e+00 1.5347 0.1252519
idIowa 3.7194e-01 1.7617e+00 0.2111 0.8328456
idKansas -5.6906e-02 1.7617e+00 -0.0323 0.9742392
idKentucky 1.3264e-01 1.7617e+00 0.0753 0.9400018
idLouisiana 7.9662e-02 1.7616e+00 0.0452 0.9639433
idMaine 2.2597e-01 1.7617e+00 0.1283 0.8979681
idMaryland 4.3061e+00 1.7826e+00 2.4156 0.0159316 *
idMassachusetts 2.0612e+01 2.4389e+00 8.4514 < 2.2e-16 ***
idMichigan 1.7878e+01 2.3789e+00 7.5154 1.528e-13 ***
idMinnesota 9.1723e+00 1.8627e+00 4.9243 1.030e-06 ***
idMissouri 1.7139e+00 1.7647e+00 0.9712 0.3317432
idNebraska -3.3331e-01 1.7619e+00 -0.1892 0.8500026
idNevada 1.6113e+00 1.7648e+00 0.9130 0.3615311
idNewHampshire 2.0104e+00 1.7681e+00 1.1371 0.2558495
idNewJersey 8.9604e+00 1.9093e+00 4.6931 3.168e-06 ***
idNewMexico 2.7004e+00 1.7706e+00 1.5251 0.1276296
idNewYork 3.3576e+01 2.8796e+00 11.6600 < 2.2e-16 ***
idNorthCarolina 1.0325e+01 1.8852e+00 5.4767 5.813e-08 ***
idOhio 1.3413e+01 2.3091e+00 5.8087 9.099e-09 ***
idOklahoma 1.0833e+00 1.7627e+00 0.6146 0.5390243
idOregon 5.2879e+00 1.7959e+00 2.9444 0.0033299 **
idPennsylvania 1.3940e+01 2.1192e+00 6.5781 8.628e-11 ***
idRhodeIsland 7.1931e-01 1.7624e+00 0.4081 0.6832737
idSouthCarolina 8.0137e+00 1.8347e+00 4.3679 1.420e-05 ***
idSouthDakota -1.4788e-03 1.7617e+00 -0.0008 0.9993304
idTennessee 2.2827e+00 1.7672e+00 1.2918 0.1968172
idTexas 1.3696e+01 2.6024e+00 5.2629 1.825e-07 ***
idUtah 1.9842e+00 1.7663e+00 1.1234 0.2616141
idVermont -8.1202e-03 1.7616e+00 -0.0046 0.9963234
idVirginia 7.0115e+00 1.8183e+00 3.8561 0.0001245 ***
idWashington 9.0979e+00 2.2374e+00 4.0662 5.253e-05 ***
idWisconsin 7.1402e+00 1.8180e+00 3.9276 9.325e-05 ***
time2001 -2.1803e+01 9.3759e+00 -2.3254 0.0203022 *
time2002 -2.0464e+01 8.7017e+00 -2.3517 0.0189294 *
time2003 -2.2338e+01 7.5222e+00 -2.9696 0.0030715 **
time2004 -2.3292e+01 5.3501e+00 -4.3535 1.515e-05 ***
time2005 -2.1326e+01 4.0864e+00 -5.2188 2.300e-07 ***
time2006 -1.5766e+01 3.3061e+00 -4.7686 2.206e-06 ***
time2007 -1.1855e+01 2.8775e+00 -4.1199 4.187e-05 ***
time2008 -8.4184e+00 3.5163e+00 -2.3941 0.0168906 *
time2009 -5.6363e-01 4.1721e+00 -0.1351 0.8925729
time2010 -1.4222e+00 3.7312e+00 -0.3812 0.7031887
time2011 -2.0026e+00 2.7458e+00 -0.7293 0.4660238
time2012 9.5534e-01 2.5256e+00 0.3783 0.7053361
time2013 -2.2395e+00 3.3221e+00 -0.6741 0.5004274
time2014 -6.1715e+00 4.0371e+00 -1.5287 0.1267442
time2015 1.2421e+00 1.9713e+00 0.6301 0.5287963
time2016 -2.9963e-01 1.8066e+00 -0.1659 0.8683121
iis61 1.0603e+02 8.4552e+00 12.5401 < 2.2e-16 ***
iis62 8.3940e+01 8.2510e+00 10.1733 < 2.2e-16 ***
iis63 8.9902e+01 8.3011e+00 10.8302 < 2.2e-16 ***
iis64 1.1882e+02 8.2906e+00 14.3324 < 2.2e-16 ***
iis65 1.2672e+02 8.1056e+00 15.6337 < 2.2e-16 ***
iis66 2.0197e+02 8.0108e+00 25.2121 < 2.2e-16 ***
iis67 1.7922e+02 8.1273e+00 22.0520 < 2.2e-16 ***
iis68 2.0940e+02 8.3173e+00 25.1767 < 2.2e-16 ***
iis69 2.1371e+02 8.7563e+00 24.4064 < 2.2e-16 ***
iis70 1.6312e+02 9.1501e+00 17.8267 < 2.2e-16 ***
iis71 1.7238e+02 8.7624e+00 19.6729 < 2.2e-16 ***
iis72 1.6363e+02 8.6639e+00 18.8863 < 2.2e-16 ***
iis73 1.6571e+02 8.5403e+00 19.4037 < 2.2e-16 ***
iis74 1.1273e+02 8.4758e+00 13.2998 < 2.2e-16 ***
iis75 1.4350e+02 8.0906e+00 17.7361 < 2.2e-16 ***
iis76 1.4497e+02 8.0804e+00 17.9405 < 2.2e-16 ***
iis77 1.1770e+02 8.0844e+00 14.5594 < 2.2e-16 ***
iis78 1.3383e+02 7.9918e+00 16.7454 < 2.2e-16 ***
iis79 1.0887e+02 7.9938e+00 13.6195 < 2.2e-16 ***
iis191 2.7899e+01 5.7892e+00 4.8192 1.726e-06 ***
iis406 2.8556e+01 5.8013e+00 4.9224 1.040e-06 ***
iis408 4.7887e+01 5.7905e+00 8.2700 5.603e-16 ***
iis429 2.1395e+01 5.9109e+00 3.6196 0.0003137 ***
iis433 -1.5826e+01 6.0139e+00 -2.6316 0.0086634 **
iis553 2.5068e+01 5.7853e+00 4.3331 1.659e-05 ***
iis584 1.2205e+01 5.8462e+00 2.0877 0.0371410 *
iis597 3.2389e+01 6.3106e+00 5.1324 3.598e-07 ***
iis627 2.0300e+01 5.8878e+00 3.4478 0.0005950 ***
iis633 3.1259e+01 6.0988e+00 5.1254 3.729e-07 ***
iis637 2.1014e+01 6.0947e+00 3.4479 0.0005946 ***
iis687 3.2043e+01 5.7916e+00 5.5327 4.282e-08 ***
iis690 2.6103e+01 5.7932e+00 4.5059 7.600e-06 ***
fesisMichigan.2012 -5.4354e+00 2.6756e+00 -2.0314 0.0425435 *
fesisNewYork.2016 -2.3360e+01 3.2104e+00 -7.2763 8.229e-13 ***
fesisOhio.2013 -5.8585e+00 2.8662e+00 -2.0440 0.0412832 *
fesisTexas.2008 2.3779e+01 3.9349e+00 6.0432 2.320e-09 ***
fesisTexas.2011 -1.9891e+01 3.7122e+00 -5.3582 1.102e-07 ***
fesisWashington.2011 1.8959e+01 5.9127e+00 3.2065 0.0013971 **
fesisWashington.2012 -2.0568e+01 5.9449e+00 -3.4597 0.0005696 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 12.870 1 0.0003339 ***
Ljung-Box ARCH(1) 10.345 1 0.0012981 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.57082
R-squared 0.98029
Log-lik.(n=900) -2770.83203 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:55:11 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.4830e-01 3.1304e-02 17.5151 < 2.2e-16 ***
lgdp -1.1402e+03 4.2723e+02 -2.6688 0.0078074 **
lpop 1.0894e+03 3.3430e+02 3.2588 0.0011791 **
lgdp_sq 2.8406e+01 1.4356e+01 1.9787 0.0482793 *
avg_temp 3.5449e+00 2.4954e+00 1.4206 0.1559285
idCalifornia -5.0696e+01 8.1029e+00 -6.2566 7.264e-10 ***
idColorado 4.3787e+00 1.9778e+00 2.2139 0.0271952 *
idConnecticut 7.5066e+00 2.0340e+00 3.6906 0.0002431 ***
idDelaware -3.1088e+00 1.9679e+00 -1.5798 0.1146566
idDistrictofColumbia -7.5829e+00 2.0310e+00 -3.7336 0.0002058 ***
idFlorida 5.0897e+00 1.9848e+00 2.5644 0.0105668 *
idGeorgia -3.5258e+00 1.9864e+00 -1.7750 0.0763815 .
idIdaho -7.3668e+00 2.0269e+00 -3.6344 0.0003013 ***
idIllinois 4.6900e+00 1.9857e+00 2.3618 0.0184872 *
idIndiana -4.8750e+00 1.9888e+00 -2.4512 0.0145078 *
idIowa -7.4367e+00 2.0285e+00 -3.6662 0.0002669 ***
idKentucky -7.6919e+00 2.0319e+00 -3.7855 0.0001680 ***
idMaryland -3.1404e+00 1.9710e+00 -1.5933 0.1115974
idMassachusetts 1.5175e+01 2.4302e+00 6.2443 7.820e-10 ***
idMichigan 1.0336e+01 2.0764e+00 4.9779 8.305e-07 ***
idMinnesota 2.2010e+00 1.9629e+00 1.1213 0.2625975
idMissouri -5.9727e+00 2.0043e+00 -2.9799 0.0029942 **
idNevada -6.0723e+00 2.0038e+00 -3.0304 0.0025421 **
idNewHampshire -5.6100e+00 1.9932e+00 -2.8145 0.0050377 **
idNewJersey 3.5524e+00 2.2808e+00 1.5575 0.1198542
idNewMexico -4.8802e+00 1.9873e+00 -2.4557 0.0143278 *
idNewYork 2.9300e+01 2.8492e+00 10.2836 < 2.2e-16 ***
idNorthCarolina 3.4482e+00 1.9706e+00 1.7498 0.0806415 .
idOhio 7.0685e+00 2.0812e+00 3.3964 0.0007257 ***
idOklahoma -6.6636e+00 2.0156e+00 -3.3059 0.0010003 **
idOregon -2.0487e+00 1.9622e+00 -1.0441 0.2968572
idPennsylvania 7.7708e+00 2.1439e+00 3.6246 0.0003127 ***
idRhodeIsland -7.0436e+00 2.0189e+00 -3.4889 0.0005187 ***
idSouthCarolina 9.1032e-01 1.9574e+00 0.4651 0.6420369
idTennessee -5.3532e+00 1.9957e+00 -2.6823 0.0075025 **
idTexas 7.1159e+00 2.7781e+00 2.5614 0.0106560 *
idUtah -5.6680e+00 1.9984e+00 -2.8363 0.0047108 **
idVirginia -1.8066e-01 1.9570e+00 -0.0923 0.9264762
idWashington 2.3434e+00 1.9625e+00 1.1941 0.2328789
idWisconsin -5.3999e-02 1.9570e+00 -0.0276 0.9779959
time2001 1.6566e+02 7.6804e+01 2.1569 0.0313875 *
time2002 1.5782e+02 7.1710e+01 2.2008 0.0281088 *
time2003 1.5724e+02 6.7331e+01 2.3353 0.0198410 *
time2004 1.5496e+02 6.5597e+01 2.3623 0.0184647 *
time2005 1.4914e+02 5.8039e+01 2.5696 0.0104106 *
time2006 1.3499e+02 5.0411e+01 2.6777 0.0076052 **
time2007 1.2327e+02 4.3804e+01 2.8142 0.0050431 **
time2008 1.0436e+02 3.9665e+01 2.6311 0.0087195 **
time2009 5.7776e+01 2.9282e+01 1.9731 0.0489161 *
time2010 5.2375e+01 2.8423e+01 1.8427 0.0658473 .
time2011 4.9093e+01 2.6763e+01 1.8344 0.0670649 .
time2012 3.7695e+01 1.9471e+01 1.9360 0.0533160 .
time2013 3.3130e+01 2.0187e+01 1.6412 0.1012638
time2014 9.8530e+00 1.1817e+01 0.8338 0.4047307
time2015 8.7424e+00 9.2756e+00 0.9425 0.3462867
time2016 -5.4316e-01 4.9994e+00 -0.1086 0.9135187
iis21 1.0026e+02 9.4637e+00 10.5938 < 2.2e-16 ***
iis22 7.8539e+01 9.2154e+00 8.5225 < 2.2e-16 ***
iis23 8.4717e+01 9.2822e+00 9.1268 < 2.2e-16 ***
iis24 1.1303e+02 9.2640e+00 12.2007 < 2.2e-16 ***
iis25 1.2234e+02 9.0438e+00 13.5271 < 2.2e-16 ***
iis26 1.9782e+02 8.9289e+00 22.1555 < 2.2e-16 ***
iis27 1.7838e+02 9.0679e+00 19.6721 < 2.2e-16 ***
iis28 2.0970e+02 9.3009e+00 22.5461 < 2.2e-16 ***
iis29 2.1501e+02 9.8265e+00 21.8803 < 2.2e-16 ***
iis30 1.6604e+02 1.0299e+01 16.1218 < 2.2e-16 ***
iis31 1.7425e+02 9.8209e+00 17.7428 < 2.2e-16 ***
iis32 1.6577e+02 9.7070e+00 17.0776 < 2.2e-16 ***
iis33 1.6697e+02 9.5629e+00 17.4597 < 2.2e-16 ***
iis34 1.1531e+02 9.4802e+00 12.1633 < 2.2e-16 ***
iis35 1.4302e+02 9.0243e+00 15.8483 < 2.2e-16 ***
iis36 1.4528e+02 9.0145e+00 16.1167 < 2.2e-16 ***
iis37 1.1680e+02 9.0210e+00 12.9481 < 2.2e-16 ***
iis38 1.3246e+02 8.9045e+00 14.8760 < 2.2e-16 ***
iis39 1.0795e+02 8.9070e+00 12.1201 < 2.2e-16 ***
iis151 2.6610e+01 6.4523e+00 4.1241 4.220e-05 ***
iis286 2.7440e+01 6.4631e+00 4.2456 2.508e-05 ***
iis288 4.7146e+01 6.4515e+00 7.3077 8.247e-13 ***
iis313 -1.9870e+01 6.4881e+00 -3.0625 0.0022884 **
iis493 2.4369e+01 6.4544e+00 3.7755 0.0001748 ***
iis547 3.1296e+01 6.4508e+00 4.8515 1.545e-06 ***
iis550 2.5220e+01 6.4534e+00 3.9081 0.0001031 ***
fesisNewJersey.2013 2.2870e+01 6.5416e+00 3.4961 0.0005053 ***
fesisNewJersey.2014 -2.6738e+01 6.7185e+00 -3.9798 7.698e-05 ***
fesisNewYork.2016 -2.4077e+01 6.4850e+00 -3.7127 0.0002232 ***
fesisNewYork.2017 3.1294e+01 8.9052e+00 3.5141 0.0004728 ***
fesisNewYork.2018 -3.0247e+01 7.2544e+00 -4.1694 3.480e-05 ***
fesisTexas.2008 2.3543e+01 4.3796e+00 5.3757 1.075e-07 ***
fesisTexas.2011 -1.8486e+01 4.1357e+00 -4.4698 9.284e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 14.3223 1 0.000154 ***
Ljung-Box ARCH(1) 7.7124 1 0.005484 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.18798
R-squared 0.97925
Log-lik.(n=720) -2289.41386 Analysis excluding 2020
AR(0)
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:35:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.087338 1.118553 -0.0781 0.9377808
lpop 0.317719 0.469855 0.6762 0.4990816
lgdp_sq 0.014525 0.048223 0.3012 0.7633256
avg_temp 0.012809 0.013757 0.9311 0.3520610
idAlaska 0.568395 0.925075 0.6144 0.5390845
idArizona 1.811154 0.162309 11.1587 < 2.2e-16 ***
idArkansas -0.380843 0.263399 -1.4459 0.1485580
idCalifornia 2.942043 0.868275 3.3884 0.0007334 ***
idColorado 2.387314 0.278875 8.5605 < 2.2e-16 ***
idConnecticut 3.148356 0.300724 10.4693 < 2.2e-16 ***
idDelaware 2.701992 0.692916 3.8995 0.0001035 ***
idDistrictofColumbia 0.878947 0.906908 0.9692 0.3327196
idFlorida 1.422164 0.563387 2.5243 0.0117623 *
idGeorgia 1.259330 0.303269 4.1525 3.599e-05 ***
idHawaii -0.501600 0.654093 -0.7669 0.4433619
idIdaho 1.190728 0.530361 2.2451 0.0250005 *
idIllinois 1.866587 0.452659 4.1236 4.073e-05 ***
idIndiana 1.135026 0.231111 4.9112 1.074e-06 ***
idIowa 0.660503 0.296543 2.2273 0.0261696 *
idKansas 0.313289 0.260170 1.2042 0.2288394
idKentucky 0.356582 0.154963 2.3011 0.0216134 *
idLouisiana 0.144393 0.167246 0.8634 0.3881696
idMaine 0.839303 0.590238 1.4220 0.1553777
idMaryland 1.452636 0.201767 7.1996 1.268e-12 ***
idMassachusetts 2.969344 0.304077 9.7651 < 2.2e-16 ***
idMichigan 2.406765 0.404108 5.9557 3.701e-09 ***
idMinnesota 2.339767 0.335892 6.9658 6.274e-12 ***
idMississippi 0.477934 0.260295 1.8361 0.0666672 .
idMissouri 0.865831 0.188011 4.6052 4.710e-06 ***
idMontana 0.530110 0.694935 0.7628 0.4457698
idNebraska 0.014754 0.441074 0.0334 0.9733234
idNevada 1.620343 0.337327 4.8035 1.824e-06 ***
idNewHampshire 2.063025 0.581232 3.5494 0.0004060 ***
idNewJersey 1.942331 0.327515 5.9305 4.292e-09 ***
idNewMexico 1.835036 0.372585 4.9251 1.002e-06 ***
idNewYork 2.573841 0.661085 3.8934 0.0001061 ***
idNorthCarolina 1.895025 0.299750 6.3220 4.047e-10 ***
idNorthDakota 0.340548 0.834325 0.4082 0.6832435
idOhio 2.242161 0.409060 5.4813 5.476e-08 ***
idOklahoma 0.782235 0.154127 5.0753 4.696e-07 ***
idOregon 2.675783 0.303738 8.8095 < 2.2e-16 ***
idPennsylvania 2.247422 0.455981 4.9288 9.838e-07 ***
idRhodeIsland 2.126227 0.620061 3.4291 0.0006330 ***
idSouthCarolina 1.415721 0.151804 9.3260 < 2.2e-16 ***
idSouthDakota 0.118439 0.757221 0.1564 0.8757424
idTennessee 0.359494 0.223646 1.6074 0.1083092
idTexas 1.724096 0.688461 2.5043 0.0124450 *
idUtah 1.396332 0.314595 4.4385 1.017e-05 ***
idVermont 1.330060 0.864588 1.5384 0.1243060
idVirginia 1.585289 0.272368 5.8204 8.143e-09 ***
idWashington 2.075100 0.308542 6.7255 3.096e-11 ***
idWestVirginia 0.173814 0.411613 0.4223 0.6729240
idWisconsin 2.022686 0.305496 6.6210 6.106e-11 ***
idWyoming 1.704603 0.951200 1.7921 0.0734577 .
time2000 -3.529590 7.763559 -0.4546 0.6494804
time2001 -3.495911 7.766977 -0.4501 0.6527465
time2002 -3.352817 7.768544 -0.4316 0.6661429
time2003 -3.241420 7.767033 -0.4173 0.6765355
time2004 -3.243170 7.768657 -0.4175 0.6764346
time2005 -3.003277 7.770981 -0.3865 0.6992369
time2006 -2.868097 7.774734 -0.3689 0.7122887
time2007 -2.667217 7.773747 -0.3431 0.7315985
time2008 -2.587534 7.771854 -0.3329 0.7392592
time2009 -2.409370 7.775416 -0.3099 0.7567309
time2010 -2.465560 7.778419 -0.3170 0.7513360
time2011 -2.457927 7.780125 -0.3159 0.7521331
time2012 -2.529881 7.784296 -0.3250 0.7452575
time2013 -2.576543 7.777620 -0.3313 0.7405122
time2014 -2.844717 7.776595 -0.3658 0.7145960
time2015 -2.842410 7.781436 -0.3653 0.7149870
time2016 -2.948803 7.783678 -0.3788 0.7048922
time2017 -3.002173 7.782296 -0.3858 0.6997579
time2018 -2.959885 7.779498 -0.3805 0.7036839
time2019 -3.073790 7.777731 -0.3952 0.6927854
iis62 1.609102 0.392456 4.1001 4.501e-05 ***
iis73 1.053480 0.377668 2.7894 0.0053907 **
iis165 -1.089197 0.375802 -2.8983 0.0038421 **
iis169 -1.640123 0.376294 -4.3586 1.459e-05 ***
iis236 -2.084549 0.438666 -4.7520 2.341e-06 ***
iis238 -1.928582 0.438780 -4.3953 1.237e-05 ***
iis239 -2.228071 0.438712 -5.0787 4.615e-07 ***
iis347 -1.471889 0.367701 -4.0030 6.767e-05 ***
iis385 -1.026794 0.376291 -2.7287 0.0064812 **
iis502 -1.354575 0.368079 -3.6801 0.0002469 ***
iis549 -1.075593 0.374530 -2.8718 0.0041760 **
iis687 1.192540 0.372784 3.1990 0.0014269 **
iis825 1.734359 0.383041 4.5279 6.753e-06 ***
iis830 0.989377 0.376277 2.6294 0.0086990 **
fesisAlaska.2007 -1.196656 0.195658 -6.1161 1.425e-09 ***
fesisAlaska.2014 0.618914 0.207762 2.9790 0.0029695 **
fesisArkansas.2006 -0.815717 0.261768 -3.1162 0.0018898 **
fesisArkansas.2009 1.282191 0.239266 5.3589 1.063e-07 ***
fesisArkansas.2019 -1.300898 0.377893 -3.4425 0.0006027 ***
fesisConnecticut.2009 -0.604439 0.163931 -3.6871 0.0002403 ***
fesisDelaware.2014 -0.832104 0.180368 -4.6134 4.532e-06 ***
fesisDistrictofColumbia.2012 0.555132 0.174377 3.1835 0.0015046 **
fesisHawaii.2001 1.364645 0.380104 3.5902 0.0003482 ***
fesisHawaii.2009 -0.680178 0.194192 -3.5026 0.0004832 ***
fesisHawaii.2015 0.824098 0.292881 2.8138 0.0050026 **
fesisLouisiana.2011 -0.835209 0.210490 -3.9679 7.823e-05 ***
fesisLouisiana.2015 1.115924 0.241333 4.6240 4.311e-06 ***
fesisMaine.2011 0.585774 0.167770 3.4915 0.0005034 ***
fesisMississippi.2004 -1.403108 0.202025 -6.9452 7.208e-12 ***
fesisNebraska.2012 0.729869 0.168287 4.3370 1.606e-05 ***
fesisNevada.2012 -0.671060 0.175087 -3.8327 0.0001355 ***
fesisOregon.2004 -0.785767 0.200982 -3.9096 9.933e-05 ***
fesisRhodeIsland.2005 -0.773268 0.189315 -4.0846 4.807e-05 ***
fesisSouthCarolina.2008 0.846891 0.166714 5.0799 4.586e-07 ***
fesisSouthDakota.2008 1.162928 0.182541 6.3708 2.989e-10 ***
fesisSouthDakota.2019 -1.645784 0.378704 -4.3458 1.545e-05 ***
fesisTennessee.2005 0.627480 0.185694 3.3791 0.0007583 ***
fesisWestVirginia.2013 -0.705920 0.171314 -4.1206 4.125e-05 ***
fesisWyoming.2003 -0.814554 0.232646 -3.5013 0.0004857 ***
fesisWyoming.2017 -0.923053 0.231541 -3.9866 7.243e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 4.3139 1 0.03780 *
Ljung-Box ARCH(1) 3.0076 1 0.08287 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.35456
R-squared 0.94493
Log-lik.(n=1020) -332.70320 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:33:59 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 0.545655 1.565540 0.3485 0.7275266
lpop 0.541752 0.466027 1.1625 0.2453868
lgdp_sq -0.015571 0.059408 -0.2621 0.7933123
avg_temp 0.019399 0.014077 1.3781 0.1685758
idArizona 1.548850 0.163240 9.4882 < 2.2e-16 ***
idArkansas -1.032151 0.250184 -4.1256 4.090e-05 ***
idCalifornia 2.668266 0.827141 3.2259 0.0013074 **
idColorado 2.277945 0.291506 7.8144 1.758e-14 ***
idConnecticut 3.097573 0.310642 9.9715 < 2.2e-16 ***
idDelaware 2.816556 0.668118 4.2157 2.778e-05 ***
idDistrictofColumbia 1.317225 0.872659 1.5094 0.1315861
idFlorida 1.014415 0.542269 1.8707 0.0617576 .
idGeorgia 0.955888 0.303179 3.1529 0.0016777 **
idHawaii -0.632897 0.636644 -0.9941 0.3204711
idIdaho 1.246332 0.546399 2.2810 0.0228140 *
idIllinois 1.646716 0.451305 3.6488 0.0002808 ***
idIndiana 0.938663 0.238102 3.9423 8.786e-05 ***
idIowa 0.586609 0.292994 2.0021 0.0456129 *
idKansas 0.202760 0.252168 0.8041 0.4215979
idKentucky 0.161303 0.154029 1.0472 0.2953173
idLouisiana -0.087286 0.174028 -0.5016 0.6161146
idMaine 1.347483 0.608068 2.2160 0.0269750 *
idMaryland 1.269230 0.217513 5.8352 7.833e-09 ***
idMassachusetts 2.838735 0.324769 8.7408 < 2.2e-16 ***
idMichigan 2.211420 0.405878 5.4485 6.789e-08 ***
idMinnesota 2.254678 0.349523 6.4507 1.937e-10 ***
idMissouri 0.654952 0.193342 3.3875 0.0007401 ***
idNebraska 0.115240 0.431015 0.2674 0.7892541
idNevada 1.578865 0.327618 4.8192 1.728e-06 ***
idNewHampshire 2.156924 0.573805 3.7590 0.0001832 ***
idNewJersey 1.746503 0.339494 5.1444 3.386e-07 ***
idNewMexico 1.774863 0.370865 4.7857 2.033e-06 ***
idNewYork 2.416002 0.648740 3.7241 0.0002099 ***
idNorthCarolina 1.619075 0.299542 5.4052 8.577e-08 ***
idOhio 2.007164 0.407001 4.9316 9.943e-07 ***
idOklahoma 0.591232 0.149394 3.9575 8.254e-05 ***
idOregon 2.571875 0.298306 8.6216 < 2.2e-16 ***
idPennsylvania 2.029185 0.453408 4.4754 8.746e-06 ***
idRhodeIsland 2.219075 0.621479 3.5706 0.0003776 ***
idSouthCarolina 1.191789 0.144375 8.2548 6.354e-16 ***
idSouthDakota 0.322603 0.776533 0.4154 0.6779325
idTennessee 0.123685 0.220340 0.5613 0.5747257
idTexas 1.391700 0.660181 2.1081 0.0353401 *
idUtah 1.452319 0.318406 4.5612 5.892e-06 ***
idVermont 1.589273 0.893839 1.7780 0.0757829 .
idVirginia 1.367020 0.282894 4.8323 1.621e-06 ***
idWashington 1.939334 0.324412 5.9780 3.417e-09 ***
idWisconsin 1.899027 0.314922 6.0301 2.512e-09 ***
time2000 -8.823877 10.434138 -0.8457 0.3979905
time2001 -8.821581 10.436973 -0.8452 0.3982413
time2002 -8.637808 10.440944 -0.8273 0.4083157
time2003 -8.597340 10.443670 -0.8232 0.4106364
time2004 -8.533923 10.449983 -0.8166 0.4143774
time2005 -8.319646 10.456132 -0.7957 0.4264617
time2006 -8.243414 10.461473 -0.7880 0.4309455
time2007 -8.015629 10.461861 -0.7662 0.4438001
time2008 -7.956718 10.458726 -0.7608 0.4470193
time2009 -7.719248 10.455831 -0.7383 0.4605681
time2010 -7.726750 10.460846 -0.7386 0.4603476
time2011 -7.790675 10.463102 -0.7446 0.4567434
time2012 -7.851102 10.467506 -0.7500 0.4534505
time2013 -7.873512 10.461932 -0.7526 0.4519221
time2014 -8.166757 10.463861 -0.7805 0.4353462
time2015 -8.165158 10.470439 -0.7798 0.4357244
time2016 -8.228686 10.472793 -0.7857 0.4322667
time2017 -8.255575 10.473342 -0.7882 0.4307887
time2018 -8.230239 10.473574 -0.7858 0.4322141
time2019 -8.363761 10.475111 -0.7984 0.4248541
iis3 -1.255156 0.338926 -3.7033 0.0002276 ***
iis5 -1.169024 0.339291 -3.4455 0.0006001 ***
iis11 -1.207194 0.339313 -3.5578 0.0003963 ***
iis18 -1.462869 0.339080 -4.3142 1.804e-05 ***
iis42 2.108766 0.351645 5.9969 3.058e-09 ***
iis46 1.589364 0.351642 4.5198 7.135e-06 ***
iis53 1.062946 0.346562 3.0671 0.0022350 **
iis145 -1.329896 0.351795 -3.7803 0.0001684 ***
iis216 -2.048843 0.402573 -5.0894 4.492e-07 ***
iis218 -1.957627 0.402798 -4.8601 1.415e-06 ***
iis219 -2.243125 0.402701 -5.5702 3.488e-08 ***
iis327 -1.400812 0.337385 -4.1520 3.654e-05 ***
iis361 -1.266387 0.339508 -3.7301 0.0002051 ***
iis365 -1.443099 0.339643 -4.2489 2.404e-05 ***
iis371 -1.196255 0.340715 -3.5110 0.0004717 ***
iis462 -1.342357 0.337935 -3.9722 7.770e-05 ***
iis489 -1.102152 0.345330 -3.1916 0.0014708 **
iis491 -1.002786 0.345836 -2.8996 0.0038399 **
iis519 -0.926830 0.351772 -2.6347 0.0085848 **
iis745 1.698621 0.351663 4.8303 1.637e-06 ***
fesisArkansas.2009 0.926876 0.166608 5.5632 3.626e-08 ***
fesisArkansas.2019 -1.306820 0.346859 -3.7676 0.0001771 ***
fesisConnecticut.2009 -0.644723 0.150946 -4.2712 2.180e-05 ***
fesisDelaware.2014 -0.887766 0.166736 -5.3244 1.321e-07 ***
fesisDistrictofColumbia.2008 -1.227239 0.229202 -5.3544 1.126e-07 ***
fesisDistrictofColumbia.2011 1.448327 0.223534 6.4792 1.620e-10 ***
fesisHawaii.2001 1.392561 0.349329 3.9864 7.329e-05 ***
fesisHawaii.2009 -0.716869 0.178976 -4.0054 6.775e-05 ***
fesisHawaii.2015 0.793235 0.269055 2.9482 0.0032901 **
fesisLouisiana.2011 -0.842319 0.193430 -4.3546 1.508e-05 ***
fesisLouisiana.2015 1.069962 0.222040 4.8188 1.732e-06 ***
fesisNebraska.2012 0.613243 0.162628 3.7708 0.0001748 ***
fesisNevada.2012 -0.621978 0.167904 -3.7044 0.0002266 ***
fesisOregon.2004 -0.792506 0.185684 -4.2680 2.211e-05 ***
fesisRhodeIsland.2005 -0.776220 0.174196 -4.4560 9.554e-06 ***
fesisSouthCarolina.2008 0.804317 0.153255 5.2482 1.974e-07 ***
fesisSouthDakota.2008 1.761394 0.234795 7.5018 1.693e-13 ***
fesisSouthDakota.2011 -0.749737 0.225522 -3.3245 0.0009267 ***
fesisSouthDakota.2019 -1.534878 0.352329 -4.3564 1.496e-05 ***
fesisTennessee.2005 0.622075 0.170350 3.6517 0.0002776 ***
fesisUtah.2016 -0.620638 0.193288 -3.2110 0.0013764 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.086823 1 0.768255
Ljung-Box ARCH(1) 7.027384 1 0.008027 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.32492
R-squared 0.94373
Log-lik.(n=900) -210.77634 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:37:34 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -3.2265775 1.5034650 -2.1461 0.0322414 *
lpop 1.1098592 0.4435440 2.5023 0.0125893 *
lgdp_sq 0.1210612 0.0561435 2.1563 0.0314342 *
avg_temp 0.0023125 0.0131084 0.1764 0.8600221
idCalifornia 0.2314572 0.6562908 0.3527 0.7244485
idColorado 0.6139477 0.2319617 2.6468 0.0083269 **
idConnecticut 1.6144017 0.2856757 5.6512 2.402e-08 ***
idDelaware 1.4619007 0.6689347 2.1854 0.0292207 *
idDistrictofColumbia 0.6814796 0.8529120 0.7990 0.4245853
idFlorida -0.7541516 0.3984538 -1.8927 0.0588501 .
idGeorgia -0.6254202 0.1739614 -3.5952 0.0003492 ***
idIdaho -0.6005584 0.5401677 -1.1118 0.2666423
idIllinois -0.2288908 0.2988987 -0.7658 0.4440897
idIndiana -0.7363954 0.1465048 -5.0264 6.497e-07 ***
idIowa -1.7173748 0.3392680 -5.0620 5.432e-07 ***
idKentucky -1.3721726 0.1670130 -8.2160 1.171e-15 ***
idMaryland -0.2709405 0.1396888 -1.9396 0.0528679 .
idMassachusetts 1.1849881 0.2214719 5.3505 1.224e-07 ***
idMichigan 0.2719952 0.2799967 0.9714 0.3317054
idMinnesota 0.5018501 0.2791409 1.7978 0.0726746 .
idMissouri -0.9543795 0.1185050 -8.0535 3.947e-15 ***
idNevada 0.1135812 0.3485834 0.3258 0.7446548
idNewHampshire 0.4489770 0.5688514 0.7893 0.4302473
idNewJersey 0.0583477 0.2046299 0.2851 0.7756309
idNewMexico 0.1732905 0.4001455 0.4331 0.6651111
idNewYork 0.5421310 0.5037207 1.0763 0.2822203
idNorthCarolina -0.0407769 0.1650470 -0.2471 0.8049394
idOhio 0.1379659 0.2634939 0.5236 0.6007370
idOklahoma -0.8873402 0.1929166 -4.5996 5.105e-06 ***
idOregon 0.8212503 0.2807108 2.9256 0.0035598 **
idPennsylvania 0.0901033 0.3061055 0.2944 0.7685833
idRhodeIsland 0.4476467 0.6107981 0.7329 0.4638954
idSouthCarolina -0.3237737 0.1668240 -1.9408 0.0527207 .
idTennessee -0.8752349 0.0960463 -9.1126 < 2.2e-16 ***
idTexas -0.6392234 0.4985960 -1.2820 0.2002912
idUtah -0.2518036 0.3274795 -0.7689 0.4422283
idVirginia -0.2084241 0.1566750 -1.3303 0.1838954
idWashington 0.2252292 0.2227368 1.0112 0.3123084
idWisconsin -0.0175593 0.2428848 -0.0723 0.9423899
time2000 14.5796840 9.5643165 1.5244 0.1279077
time2001 14.6913333 9.5679456 1.5355 0.1251624
time2002 14.8278465 9.5682855 1.5497 0.1217118
time2003 14.8128646 9.5701106 1.5478 0.1221593
time2004 14.8844374 9.5756645 1.5544 0.1205835
time2005 15.0998658 9.5803903 1.5761 0.1154926
time2006 15.2972301 9.5846090 1.5960 0.1109787
time2007 15.3881391 9.5848125 1.6055 0.1088842
time2008 15.4934126 9.5823900 1.6169 0.1064014
time2009 15.6577495 9.5791724 1.6346 0.1026334
time2010 15.6842672 9.5828748 1.6367 0.1021861
time2011 15.6438563 9.5848454 1.6321 0.1031416
time2012 15.5968140 9.5891282 1.6265 0.1043342
time2013 15.5553605 9.5844149 1.6230 0.1050858
time2014 15.2204151 9.5863864 1.5877 0.1128463
time2015 15.2899117 9.5919635 1.5940 0.1114230
time2016 15.1515226 9.5944892 1.5792 0.1147873
time2017 15.1409180 9.5948501 1.5780 0.1150546
time2018 15.1982267 9.5952664 1.5839 0.1137045
time2019 15.0545124 9.5956608 1.5689 0.1171692
iis105 -1.4471156 0.2859859 -5.0601 5.485e-07 ***
iis109 -1.9026099 0.2874865 -6.6181 7.709e-11 ***
iis110 -0.9610283 0.2871811 -3.3464 0.0008666 ***
iis111 -1.0327662 0.2871125 -3.5971 0.0003467 ***
iis162 -1.2320755 0.2888787 -4.2650 2.301e-05 ***
iis242 -1.0833072 0.2851945 -3.7985 0.0001595 ***
iis247 -1.5510721 0.2845291 -5.4514 7.147e-08 ***
iis342 -1.4321802 0.2849617 -5.0259 6.515e-07 ***
iis379 -0.9755028 0.2921776 -3.3387 0.0008905 ***
iis601 -1.1234489 0.2844618 -3.9494 8.707e-05 ***
iis604 -1.1781446 0.2845216 -4.1408 3.926e-05 ***
iis662 -1.1068077 0.2846694 -3.8880 0.0001116 ***
fesisConnecticut.2009 -0.5958659 0.1275696 -4.6709 3.658e-06 ***
fesisDelaware.2014 -0.8662542 0.1411215 -6.1384 1.464e-09 ***
fesisIowa.2002 0.7736519 0.2116221 3.6558 0.0002774 ***
fesisNevada.2010 -0.6501524 0.1396526 -4.6555 3.932e-06 ***
fesisNewYork.2005 -0.4624819 0.1483015 -3.1185 0.0018993 **
fesisOregon.2004 -0.7061211 0.1571513 -4.4933 8.326e-06 ***
fesisRhodeIsland.2005 -0.6635187 0.1489014 -4.4561 9.855e-06 ***
fesisSouthCarolina.2008 0.8306243 0.1287795 6.4500 2.209e-10 ***
fesisUtah.2019 -1.0597592 0.2895460 -3.6601 0.0002730 ***
fesisWisconsin.2014 0.4548084 0.1368754 3.3228 0.0009421 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0069745 1 0.93344
Ljung-Box ARCH(1) 3.6247026 1 0.05693 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.27283
R-squared 0.94355
Log-lik.(n=720) -45.92762 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:25:50 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -1.4288604 0.9403339 -1.5195 0.1289782
lpop 0.6484109 0.3983794 1.6276 0.1039517
lgdp_sq 0.0576976 0.0405903 1.4215 0.1555251
avg_temp 0.0092358 0.0114876 0.8040 0.4216225
idAlaska 0.8298135 0.7741305 1.0719 0.2840361
idArizona 1.5490371 0.1362134 11.3721 < 2.2e-16 ***
idArkansas -0.1743173 0.2212878 -0.7877 0.4310540
idCalifornia 2.3936205 0.7290360 3.2833 0.0010653 **
idColorado 2.1423187 0.2316391 9.2485 < 2.2e-16 ***
idConnecticut 2.9574919 0.2500785 11.8263 < 2.2e-16 ***
idDelaware 2.6029742 0.5846308 4.4523 9.549e-06 ***
idDistrictofColumbia 1.2804279 0.7666010 1.6703 0.0952109 .
idFlorida 1.0535843 0.4728635 2.2281 0.0261182 *
idGeorgia 1.0111106 0.2544283 3.9740 7.626e-05 ***
idHawaii -0.1047647 0.5529834 -0.1895 0.8497797
idIdaho 1.0261454 0.4436981 2.3127 0.0209611 *
idIllinois 1.5353344 0.3797771 4.0427 5.731e-05 ***
idIndiana 0.9157987 0.1934386 4.7343 2.548e-06 ***
idIowa 0.6251718 0.2469918 2.5311 0.0115367 *
idKansas 0.3590626 0.2178499 1.6482 0.0996549 .
idKentucky 0.2894969 0.1293750 2.2377 0.0254850 *
idLouisiana 0.1911320 0.1407151 1.3583 0.1747085
idMaine 0.7242756 0.4934484 1.4678 0.1425088
idMaryland 1.2665532 0.1679466 7.5414 1.126e-13 ***
idMassachusetts 2.7204397 0.2529245 10.7559 < 2.2e-16 ***
idMichigan 2.0282924 0.3399446 5.9665 3.469e-09 ***
idMinnesota 2.0748805 0.2792764 7.4295 2.512e-13 ***
idMississippi 0.4361486 0.2185458 1.9957 0.0462662 *
idMissouri 0.6882617 0.1573070 4.3753 1.353e-05 ***
idMontana 0.5593590 0.5824835 0.9603 0.3371595
idNebraska 0.2109831 0.3695752 0.5709 0.5682221
idNevada 1.5382712 0.2877604 5.3457 1.140e-07 ***
idNewHampshire 1.8709829 0.4868460 3.8431 0.0001300 ***
idNewJersey 1.6825547 0.2738703 6.1436 1.205e-09 ***
idNewMexico 1.6192146 0.3126739 5.1786 2.753e-07 ***
idNewYork 2.1472285 0.5543630 3.8733 0.0001151 ***
idNorthCarolina 1.5980380 0.2518082 6.3463 3.477e-10 ***
idNorthDakota 0.5875167 0.7002550 0.8390 0.4016877
idOhio 1.8833930 0.3439272 5.4761 5.627e-08 ***
idOklahoma 0.6809757 0.1291988 5.2708 1.698e-07 ***
idOregon 2.3348956 0.2532501 9.2197 < 2.2e-16 ***
idPennsylvania 1.8772716 0.3832016 4.8989 1.141e-06 ***
idRhodeIsland 1.9088205 0.5211528 3.6627 0.0002640 ***
idSouthCarolina 1.1998722 0.1272481 9.4294 < 2.2e-16 ***
idSouthDakota 0.3127357 0.6362150 0.4916 0.6231515
idTennessee 0.3129763 0.1872052 1.6718 0.0949009 .
idTexas 1.3011509 0.5777819 2.2520 0.0245618 *
idUtah 1.2391654 0.2625410 4.7199 2.731e-06 ***
idVermont 1.2143856 0.7261320 1.6724 0.0947889 .
idVirginia 1.3516466 0.2279176 5.9304 4.290e-09 ***
idWashington 1.8214009 0.2570793 7.0850 2.787e-12 ***
idWestVirginia 0.2179493 0.3450319 0.6317 0.5277556
idWisconsin 1.7393052 0.2548260 6.8255 1.600e-11 ***
idWyoming 1.5092227 0.7904568 1.9093 0.0565374 .
time2000 3.5080702 6.5375286 0.5366 0.5916718
time2001 3.5430584 6.5403134 0.5417 0.5881400
time2002 3.6644025 6.5416390 0.5602 0.5755044
time2003 3.7427773 6.5411466 0.5722 0.5673349
time2004 3.7262048 6.5424093 0.5695 0.5691262
time2005 3.9777803 6.5435369 0.6079 0.5434093
time2006 4.1225412 6.5461091 0.6298 0.5290035
time2007 4.2741985 6.5458123 0.6530 0.5139427
time2008 4.3487827 6.5443986 0.6645 0.5065360
time2009 4.4956970 6.5474780 0.6866 0.4924908
time2010 4.4724812 6.5493500 0.6829 0.4948508
time2011 4.4773158 6.5507497 0.6835 0.4944769
time2012 4.4048031 6.5545150 0.6720 0.5017380
time2013 4.3583807 6.5492735 0.6655 0.5059153
time2014 4.1213498 6.5484317 0.6294 0.5292687
time2015 4.1294069 6.5522307 0.6302 0.5287031
time2016 4.0322657 6.5540102 0.6152 0.5385526
time2017 3.9922425 6.5529731 0.6092 0.5425268
time2018 4.0272985 6.5507047 0.6148 0.5388482
time2019 3.9315908 6.5492540 0.6003 0.5484485
iis62 1.2024154 0.3287822 3.6572 0.0002697 ***
iis73 0.8612723 0.3164060 2.7220 0.0066120 **
iis169 -1.1758375 0.3139605 -3.7452 0.0001916 ***
iis236 -1.6187385 0.3675136 -4.4046 1.186e-05 ***
iis238 -1.4731561 0.3676055 -4.0074 6.641e-05 ***
iis239 -1.7340959 0.3675526 -4.7180 2.757e-06 ***
iis347 -1.1187737 0.3080144 -3.6322 0.0002967 ***
iis502 -0.9904151 0.3083674 -3.2118 0.0013654 **
iis549 -0.8398296 0.3137815 -2.6765 0.0075740 **
iis825 1.3735470 0.3207704 4.2820 2.049e-05 ***
iis830 0.8454226 0.3152471 2.6818 0.0074560 **
fesisAlaska.2007 -0.9753217 0.1639356 -5.9494 3.837e-09 ***
fesisAlaska.2014 0.5310895 0.1738390 3.0551 0.0023158 **
fesisArkansas.2006 -0.6995530 0.2193098 -3.1898 0.0014725 **
fesisArkansas.2009 0.9605993 0.2004687 4.7918 1.930e-06 ***
fesisArkansas.2019 -0.9623715 0.3165892 -3.0398 0.0024351 **
fesisConnecticut.2009 -0.5644644 0.1373251 -4.1104 4.306e-05 ***
fesisDelaware.2014 -0.7907720 0.1511523 -5.2316 2.087e-07 ***
fesisDistrictofColumbia.2012 0.4971102 0.1434084 3.4664 0.0005522 ***
fesisHawaii.2001 1.0202734 0.3184360 3.2040 0.0014025 **
fesisHawaii.2009 -0.6016727 0.1627587 -3.6967 0.0002315 ***
fesisHawaii.2015 0.7345754 0.2453668 2.9938 0.0028300 **
fesisLouisiana.2011 -0.7137073 0.1763608 -4.0469 5.632e-05 ***
fesisLouisiana.2015 0.9054736 0.2021608 4.4790 8.455e-06 ***
fesisMaine.2011 0.5038598 0.1376862 3.6595 0.0002673 ***
fesisMississippi.2004 -1.1359771 0.1692425 -6.7121 3.373e-11 ***
fesisNebraska.2012 0.5705698 0.1409818 4.0471 5.626e-05 ***
fesisNevada.2010 -0.6236339 0.1454497 -4.2876 1.999e-05 ***
fesisOregon.2004 -0.6857386 0.1683974 -4.0721 5.064e-05 ***
fesisRhodeIsland.2005 -0.6564222 0.1586060 -4.1387 3.817e-05 ***
fesisSouthCarolina.2008 0.7905994 0.1397771 5.6561 2.073e-08 ***
fesisSouthDakota.2008 0.8975940 0.1529208 5.8697 6.115e-09 ***
fesisSouthDakota.2019 -1.2412486 0.3173118 -3.9118 9.845e-05 ***
fesisTennessee.2005 0.4737091 0.1555940 3.0445 0.0023976 **
fesisWestVirginia.2013 -0.5139368 0.1435339 -3.5806 0.0003610 ***
fesisWyoming.2005 -0.5224067 0.1647111 -3.1717 0.0015666 **
fesisWyoming.2017 -0.6616481 0.1968069 -3.3619 0.0008063 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 2.7228 1 0.09893 .
Ljung-Box ARCH(1) 1.2383 1 0.26579
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.29705
R-squared 0.94923
Log-lik.(n=1020) -153.68443 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:24:18 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.918991 1.352177 -0.6796 0.4969316
lpop 0.906452 0.410207 2.2097 0.0274074 *
lgdp_sq 0.034133 0.051215 0.6665 0.5053059
avg_temp 0.013745 0.012180 1.1285 0.2594367
idArizona 1.512820 0.138950 10.8875 < 2.2e-16 ***
idArkansas -0.053251 0.225575 -0.2361 0.8134413
idCalifornia 2.170630 0.729305 2.9763 0.0030060 **
idColorado 2.234080 0.249348 8.9597 < 2.2e-16 ***
idConnecticut 3.120297 0.266362 11.7145 < 2.2e-16 ***
idDelaware 3.039139 0.578057 5.2575 1.878e-07 ***
idDistrictofColumbia 2.161022 0.744453 2.9028 0.0038003 **
idFlorida 0.803679 0.474094 1.6952 0.0904307 .
idGeorgia 0.902441 0.263790 3.4211 0.0006556 ***
idHawaii 0.150230 0.555421 0.2705 0.7868618
idIdaho 1.365476 0.468743 2.9131 0.0036793 **
idIllinois 1.454179 0.395072 3.6808 0.0002482 ***
idIndiana 0.921464 0.204630 4.5031 7.700e-06 ***
idIowa 0.795898 0.249453 3.1906 0.0014757 **
idKansas 0.513083 0.215182 2.3844 0.0173399 *
idKentucky 0.339668 0.129137 2.6303 0.0086964 **
idLouisiana 0.206772 0.150116 1.3774 0.1687721
idMaine 1.115506 0.515147 2.1654 0.0306528 *
idMaryland 1.292880 0.186621 6.9278 8.828e-12 ***
idMassachusetts 2.768336 0.280676 9.8631 < 2.2e-16 ***
idMichigan 1.988530 0.353472 5.6257 2.560e-08 ***
idMinnesota 2.177299 0.299837 7.2616 9.124e-13 ***
idMissouri 0.694254 0.165013 4.2073 2.879e-05 ***
idNebraska 0.568168 0.369473 1.5378 0.1245004
idNevada 1.756499 0.284966 6.1639 1.128e-09 ***
idNewHampshire 2.251157 0.492485 4.5710 5.626e-06 ***
idNewJersey 1.656390 0.295643 5.6027 2.910e-08 ***
idNewMexico 1.847310 0.318577 5.7986 9.643e-09 ***
idNewYork 2.067414 0.569804 3.6283 0.0003035 ***
idNorthCarolina 1.510054 0.260604 5.7944 9.877e-09 ***
idOhio 1.801463 0.355503 5.0674 5.020e-07 ***
idOklahoma 0.750113 0.125580 5.9732 3.507e-09 ***
idOregon 2.470359 0.254858 9.6931 < 2.2e-16 ***
idPennsylvania 1.797734 0.396468 4.5344 6.667e-06 ***
idRhodeIsland 2.314207 0.533966 4.3340 1.652e-05 ***
idSouthCarolina 1.228188 0.121773 10.0859 < 2.2e-16 ***
idSouthDakota 0.826795 0.666526 1.2405 0.2151734
idTennessee 0.341706 0.182027 1.8772 0.0608522 .
idTexas 1.076221 0.580584 1.8537 0.0641541 .
idUtah 1.531308 0.271593 5.6382 2.387e-08 ***
idVermont 1.797720 0.767543 2.3422 0.0194176 *
idVirginia 1.367527 0.245964 5.5599 3.688e-08 ***
idWashington 1.864328 0.279971 6.6590 5.141e-11 ***
idWisconsin 1.808729 0.270381 6.6896 4.221e-11 ***
time2000 -1.687160 8.933566 -0.1889 0.8502537
time2001 -1.624247 8.935802 -0.1818 0.8558108
time2002 -1.522298 8.939390 -0.1703 0.8648246
time2003 -1.468586 8.942000 -0.1642 0.8695882
time2004 -1.449982 8.948009 -0.1620 0.8713114
time2005 -1.177310 8.952960 -0.1315 0.8954134
time2006 -1.116480 8.957167 -0.1246 0.9008349
time2007 -0.926742 8.957589 -0.1035 0.9176249
time2008 -0.856059 8.955393 -0.0956 0.9238692
time2009 -0.680689 8.952870 -0.0760 0.9394141
time2010 -0.707619 8.956858 -0.0790 0.9370501
time2011 -0.725080 8.959259 -0.0809 0.9355173
time2012 -0.788266 8.963022 -0.0879 0.9299414
time2013 -0.818221 8.958613 -0.0913 0.9272507
time2014 -1.080875 8.960397 -0.1206 0.9040162
time2015 -1.072887 8.965857 -0.1197 0.9047798
time2016 -1.137171 8.967787 -0.1268 0.8991259
time2017 -1.183530 8.968317 -0.1320 0.8950430
time2018 -1.134073 8.968675 -0.1264 0.8994091
time2019 -1.251579 8.970165 -0.1395 0.8890691
iis42 1.184686 0.314909 3.7620 0.0001809 ***
iis53 0.859999 0.302843 2.8398 0.0046301 **
iis145 -1.001615 0.296897 -3.3736 0.0007778 ***
iis149 -1.494127 0.297899 -5.0155 6.526e-07 ***
iis150 -0.854642 0.297477 -2.8730 0.0041747 **
iis151 -0.889435 0.297450 -2.9902 0.0028739 **
iis216 -0.881076 0.310383 -2.8387 0.0046457 **
iis218 -1.472334 0.351927 -4.1836 3.188e-05 ***
iis219 -1.749591 0.351906 -4.9717 8.131e-07 ***
iis327 -1.060832 0.294844 -3.5979 0.0003406 ***
iis462 -1.008719 0.295446 -3.4142 0.0006720 ***
iis489 -0.889563 0.301828 -2.9473 0.0032999 **
iis491 -0.784154 0.302073 -2.5959 0.0096082 **
iis519 -0.804425 0.303328 -2.6520 0.0081612 **
iis745 1.357113 0.307131 4.4187 1.131e-05 ***
iis842 -0.941348 0.295261 -3.1882 0.0014877 **
fesisArkansas.2006 -0.678641 0.209957 -3.2323 0.0012786 **
fesisArkansas.2009 0.920368 0.191925 4.7955 1.938e-06 ***
fesisArkansas.2019 -0.965659 0.303104 -3.1859 0.0014994 **
fesisConnecticut.2009 -0.581772 0.132062 -4.4053 1.201e-05 ***
fesisDelaware.2014 -0.827765 0.145757 -5.6791 1.899e-08 ***
fesisHawaii.2001 1.003103 0.305161 3.2871 0.0010566 **
fesisHawaii.2009 -0.622655 0.156328 -3.9830 7.429e-05 ***
fesisHawaii.2016 0.712852 0.235098 3.0322 0.0025070 **
fesisLouisiana.2011 -0.716556 0.169181 -4.2355 2.548e-05 ***
fesisLouisiana.2015 0.881514 0.194023 4.5433 6.396e-06 ***
fesisMaine.2011 0.493243 0.132176 3.7317 0.0002037 ***
fesisNebraska.2012 0.481333 0.141978 3.3902 0.0007329 ***
fesisNevada.2010 -0.596223 0.143633 -4.1510 3.667e-05 ***
fesisOregon.2004 -0.702289 0.162141 -4.3313 1.672e-05 ***
fesisRhodeIsland.2005 -0.658815 0.152297 -4.3258 1.713e-05 ***
fesisSouthCarolina.2008 0.755276 0.133837 5.6433 2.321e-08 ***
fesisSouthDakota.2008 1.380057 0.205002 6.7319 3.206e-11 ***
fesisSouthDakota.2011 -0.597144 0.196891 -3.0329 0.0025012 **
fesisSouthDakota.2019 -1.157716 0.307918 -3.7598 0.0001825 ***
fesisTennessee.2006 0.436110 0.140725 3.0990 0.0020100 **
fesisUtah.2016 -0.519137 0.168500 -3.0809 0.0021346 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.22091 1 0.63834
Ljung-Box ARCH(1) 2.92007 1 0.08748 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.28393
R-squared 0.94558
Log-lik.(n=900) -91.43176 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:28:00 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -3.87183601 1.33710748 -2.8957 0.0039124 **
lpop 0.89955545 0.39398348 2.2832 0.0227437 *
lgdp_sq 0.14585573 0.05018996 2.9061 0.0037865 **
avg_temp 0.00065794 0.01189470 0.0553 0.9559057
idCalifornia 0.50088495 0.59067851 0.8480 0.3967648
idColorado 0.53002841 0.20909064 2.5349 0.0114843 *
idConnecticut 1.43414851 0.25555736 5.6118 2.983e-08 ***
idDelaware 0.95608226 0.60180144 1.5887 0.1126219
idDistrictofColumbia 0.33624351 0.76191060 0.4413 0.6591331
idFlorida -0.52539442 0.35851610 -1.4655 0.1432840
idGeorgia -0.51307957 0.15706664 -3.2666 0.0011465 **
idIdaho -0.84594232 0.48774013 -1.7344 0.0833265 .
idIllinois -0.11285844 0.27007064 -0.4179 0.6761715
idIndiana -0.68870801 0.13263560 -5.1925 2.791e-07 ***
idIowa -1.01887695 0.26972181 -3.7775 0.0001732 ***
idKentucky -1.32456802 0.14993158 -8.8345 < 2.2e-16 ***
idMaryland -0.27097760 0.12527240 -2.1631 0.0309025 *
idMassachusetts 1.14436898 0.19928419 5.7424 1.443e-08 ***
idMichigan 0.32454606 0.25356614 1.2799 0.2010347
idMinnesota 0.42332351 0.25218214 1.6786 0.0937100 .
idMissouri -0.89357751 0.10714276 -8.3401 4.557e-16 ***
idNevada -0.07450347 0.31361708 -0.2376 0.8122969
idNewHampshire 0.06860170 0.51288212 0.1338 0.8936366
idNewJersey 0.10671673 0.18473910 0.5777 0.5636956
idNewMexico -0.08939918 0.36092091 -0.2477 0.8044480
idNewYork 0.68184429 0.45498618 1.4986 0.1344694
idNorthCarolina 0.03190199 0.14901847 0.2141 0.8305523
idOhio 0.22815965 0.23812894 0.9581 0.3383565
idOklahoma -0.88526442 0.17391487 -5.0902 4.708e-07 ***
idOregon 0.02521433 0.22733510 0.1109 0.9117204
idPennsylvania 0.19386893 0.27669203 0.7007 0.4837656
idRhodeIsland 0.03972407 0.55102443 0.0721 0.9425518
idSouthCarolina -0.36060029 0.15071616 -2.3926 0.0170178 *
idTennessee -0.80756543 0.08686121 -9.2972 < 2.2e-16 ***
idTexas -0.39659094 0.44896245 -0.8833 0.3773789
idUtah -0.39655136 0.29535520 -1.3426 0.1798693
idVirginia -0.15897306 0.14141229 -1.1242 0.2613575
idWashington 0.21116987 0.20109889 1.0501 0.2940778
idWisconsin -0.05456625 0.21998479 -0.2480 0.8041787
time2000 20.11572953 8.55561595 2.3512 0.0190167 *
time2001 20.19005985 8.55877702 2.3590 0.0186243 *
time2002 20.32060494 8.56034145 2.3738 0.0178999 *
time2003 20.31869878 8.56163500 2.3732 0.0179278 *
time2004 20.39390407 8.56671472 2.3806 0.0175763 *
time2005 20.59662741 8.57092445 2.4031 0.0165412 *
time2006 20.77859652 8.57471957 2.4232 0.0156591 *
time2007 20.86689804 8.57486707 2.4335 0.0152265 *
time2008 20.96926702 8.57272465 2.4460 0.0147115 *
time2009 21.12017210 8.57011677 2.4644 0.0139861 *
time2010 21.14990866 8.57341970 2.4669 0.0138890 *
time2011 21.11065799 8.57515918 2.4618 0.0140853 *
time2012 21.06909229 8.57910294 2.4559 0.0143194 *
time2013 21.02899876 8.57468058 2.4525 0.0144545 *
time2014 20.72312952 8.57635345 2.4163 0.0159575 *
time2015 20.78538374 8.58140126 2.4221 0.0157060 *
time2016 20.66007197 8.58370890 2.4069 0.0163711 *
time2017 20.65051282 8.58398123 2.4057 0.0164240 *
time2018 20.70004906 8.58420323 2.4114 0.0161715 *
time2019 20.57446736 8.58445737 2.3967 0.0168288 *
iis105 -1.06002154 0.25865890 -4.0981 4.700e-05 ***
iis109 -1.49562521 0.25994939 -5.7535 1.355e-08 ***
iis110 -0.84763893 0.25965870 -3.2644 0.0011553 **
iis111 -0.90423160 0.25959542 -3.4832 0.0005292 ***
iis162 -0.85560512 0.26086080 -3.2799 0.0010947 **
iis247 -1.12455628 0.25697743 -4.3761 1.411e-05 ***
iis342 -1.00830387 0.25754854 -3.9150 0.0001001 ***
iis379 -0.76463630 0.26426913 -2.8934 0.0039406 **
iis523 1.12083895 0.25817673 4.3414 1.646e-05 ***
iis524 0.83645408 0.25871235 3.2331 0.0012873 **
iis601 -0.82648775 0.25721550 -3.2132 0.0013785 **
iis604 -0.89978657 0.25741507 -3.4955 0.0005059 ***
iis662 -0.94621806 0.25732187 -3.6772 0.0002556 ***
fesisConnecticut.2009 -0.57366776 0.11536591 -4.9726 8.496e-07 ***
fesisDelaware.2014 -0.78909710 0.12755601 -6.1863 1.099e-09 ***
fesisNevada.2010 -0.57921768 0.12607609 -4.5942 5.234e-06 ***
fesisNewYork.2005 -0.44748155 0.13404300 -3.3383 0.0008917 ***
fesisRhodeIsland.2005 -0.60727725 0.13439005 -4.5188 7.409e-06 ***
fesisSouthCarolina.2008 0.78663472 0.11645607 6.7548 3.218e-11 ***
fesisUtah.2019 -0.84414380 0.26176973 -3.2248 0.0013250 **
fesisWisconsin.2014 0.42053841 0.12376524 3.3979 0.0007212 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.51109 1 0.4747
Ljung-Box ARCH(1) 2.23601 1 0.1348
SE of regression 0.24677
R-squared 0.94521
Log-lik.(n=720) 25.85228 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:17:01 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -229.228404 22.847581 -10.0329 < 2.2e-16 ***
lpop 15.753916 7.585913 2.0767 0.0381042 *
lgdp_sq 9.170045 0.954832 9.6038 < 2.2e-16 ***
avg_temp 0.033073 0.230008 0.1438 0.8856977
idAlaska 3.857679 15.100128 0.2555 0.7984149
idArizona 14.631058 2.695162 5.4286 7.273e-08 ***
idArkansas 0.163585 3.777398 0.0433 0.9654668
idCalifornia 119.177113 15.163807 7.8593 1.080e-14 ***
idColorado 19.240379 5.094518 3.7767 0.0001692 ***
idConnecticut 41.687482 4.660950 8.9440 < 2.2e-16 ***
idDelaware 18.832947 11.099474 1.6967 0.0900847 .
idDistrictofColumbia 26.032411 14.260111 1.8255 0.0682446 .
idFlorida -3.302914 9.156232 -0.3607 0.7183855
idGeorgia 1.225279 5.006670 0.2447 0.8067208
idHawaii 3.226831 8.742498 0.3691 0.7121405
idIdaho -1.049467 9.034242 -0.1162 0.9075469
idIllinois 5.983977 7.351871 0.8139 0.4158910
idIndiana 3.099528 3.783507 0.8192 0.4128732
idIowa 6.276272 4.906976 1.2791 0.2012027
idKansas 4.966703 4.271031 1.1629 0.2451801
idKentucky 1.562559 2.597862 0.6015 0.5476699
idLouisiana 1.702770 2.515111 0.6770 0.4985667
idMaine -1.207676 10.061056 -0.1200 0.9044820
idMaryland 8.381559 3.379412 2.4802 0.0133101 *
idMassachusetts 38.648599 5.448966 7.0928 2.625e-12 ***
idMichigan 19.476595 6.883117 2.8296 0.0047621 **
idMinnesota 22.856800 5.523270 4.1383 3.821e-05 ***
idMississippi -2.929858 3.697028 -0.7925 0.4282800
idMissouri 1.938377 3.090243 0.6273 0.5306469
idMontana -8.453098 11.809752 -0.7158 0.4743139
idNebraska 6.096266 7.188317 0.8481 0.3966149
idNevada 10.340081 5.155128 2.0058 0.0451725 *
idNewHampshire 10.112354 9.650626 1.0478 0.2949864
idNewJersey 13.375669 5.397453 2.4781 0.0133858 *
idNewMexico 9.653920 6.191905 1.5591 0.1193131
idNewYork 38.856623 10.745713 3.6160 0.0003155 ***
idNorthCarolina 13.724829 4.889454 2.8070 0.0051061 **
idNorthDakota -11.896972 14.294147 -0.8323 0.4054581
idOhio 20.398751 6.591054 3.0949 0.0020284 **
idOklahoma 5.019968 2.558361 1.9622 0.0500435 .
idOregon 16.327140 4.323432 3.7764 0.0001693 ***
idPennsylvania 10.907149 7.698165 1.4169 0.1568663
idRhodeIsland 1.813804 10.375697 0.1748 0.8612654
idSouthCarolina 19.464926 1.914644 10.1663 < 2.2e-16 ***
idSouthDakota -4.569296 12.513058 -0.3652 0.7150745
idTennessee 2.175525 2.916439 0.7460 0.4558873
idTexas -1.147390 11.205124 -0.1024 0.9184626
idUtah 9.634933 5.233542 1.8410 0.0659450 .
idVermont -13.754521 14.673889 -0.9373 0.3488270
idVirginia 8.349376 4.495517 1.8573 0.0635936 .
idWashington 17.476243 5.065281 3.4502 0.0005857 ***
idWestVirginia -2.620154 7.031499 -0.3726 0.7095092
idWisconsin 16.000202 5.022082 3.1860 0.0014915 **
idWyoming -2.174133 15.160141 -0.1434 0.8859970
time2000 1290.988038 156.521775 8.2480 5.557e-16 ***
time2001 1291.707978 156.592707 8.2488 5.519e-16 ***
time2002 1293.586630 156.631711 8.2588 5.108e-16 ***
time2003 1294.102966 156.631993 8.2621 4.979e-16 ***
time2004 1295.332385 156.689978 8.2668 4.796e-16 ***
time2005 1296.944108 156.755729 8.2737 4.548e-16 ***
time2006 1299.057071 156.840331 8.2827 4.239e-16 ***
time2007 1300.985418 156.849667 8.2945 3.865e-16 ***
time2008 1302.958341 156.821050 8.3086 3.461e-16 ***
time2009 1305.476327 156.858332 8.3226 3.100e-16 ***
time2010 1306.601621 156.935095 8.3257 3.025e-16 ***
time2011 1305.533140 156.972126 8.3170 3.241e-16 ***
time2012 1304.176046 157.053646 8.3040 3.587e-16 ***
time2013 1303.866517 156.920876 8.3091 3.448e-16 ***
time2014 1299.823874 156.948918 8.2818 4.267e-16 ***
time2015 1300.243608 157.064463 8.2784 4.382e-16 ***
time2016 1297.826299 157.112140 8.2605 5.040e-16 ***
time2017 1298.140288 157.094445 8.2634 4.926e-16 ***
time2018 1297.818618 157.050997 8.2637 4.917e-16 ***
time2019 1296.503538 157.034124 8.2562 5.212e-16 ***
iis81 -111.955896 7.775315 -14.3989 < 2.2e-16 ***
iis82 -86.213135 7.787286 -11.0710 < 2.2e-16 ***
iis83 -94.051231 7.766829 -12.1093 < 2.2e-16 ***
iis84 -93.927128 7.719164 -12.1680 < 2.2e-16 ***
iis85 -65.554532 7.681389 -8.5342 < 2.2e-16 ***
iis86 -41.157011 7.637495 -5.3888 9.021e-08 ***
iis87 47.560336 7.596965 6.2604 5.889e-10 ***
iis88 76.951735 7.569850 10.1656 < 2.2e-16 ***
iis89 124.238713 7.559114 16.4356 < 2.2e-16 ***
iis90 158.708459 7.586940 20.9186 < 2.2e-16 ***
iis91 125.818377 7.579503 16.5998 < 2.2e-16 ***
iis92 115.562346 7.577019 15.2517 < 2.2e-16 ***
iis93 101.813599 7.553944 13.4782 < 2.2e-16 ***
iis94 93.573585 7.517727 12.4471 < 2.2e-16 ***
iis95 34.112831 7.525281 4.5331 6.582e-06 ***
iis96 30.516667 7.467068 4.0868 4.756e-05 ***
iis97 30.130490 7.457527 4.0403 5.786e-05 ***
iis429 31.618001 6.566981 4.8147 1.724e-06 ***
iis430 23.847158 6.568212 3.6307 0.0002983 ***
fesisCalifornia.2019 -26.255388 7.453631 -3.5225 0.0004486 ***
fesisColorado.2005 11.420890 3.175608 3.5964 0.0003398 ***
fesisMassachusetts.2006 28.814261 3.550183 8.1163 1.539e-15 ***
fesisMassachusetts.2014 -21.280045 3.532582 -6.0239 2.462e-09 ***
fesisMichigan.2009 31.995702 3.725337 8.5887 < 2.2e-16 ***
fesisMichigan.2013 -30.054420 3.842525 -7.8215 1.432e-14 ***
fesisNewYork.2014 -18.766033 3.114354 -6.0257 2.437e-09 ***
fesisNorthDakota.2012 17.308159 3.654016 4.7367 2.515e-06 ***
fesisPennsylvania.2007 28.862323 3.281440 8.7956 < 2.2e-16 ***
fesisPennsylvania.2014 -27.821469 3.409336 -8.1604 1.096e-15 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 177.654 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 91.722 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.01794
R-squared 0.97451
Log-lik.(n=1020) -3226.45754 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:14:51 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -248.97169 30.84559 -8.0715 2.509e-15 ***
lpop 12.39584 8.83059 1.4037 0.1607811
lgdp_sq 9.64701 1.23973 7.7815 2.189e-14 ***
avg_temp 0.19002 0.29579 0.6424 0.5207876
idArizona 18.92452 3.14353 6.0202 2.642e-09 ***
idArkansas -5.74046 4.38344 -1.3096 0.1907104
idCalifornia 144.54576 17.65458 8.1874 1.037e-15 ***
idColorado 25.05051 6.50097 3.8533 0.0001258 ***
idConnecticut 53.58096 6.02983 8.8860 < 2.2e-16 ***
idDelaware 4.76051 12.70603 0.3747 0.7080079
idDistrictofColumbia 15.66186 16.37540 0.9564 0.3391430
idFlorida 11.13434 10.52849 1.0575 0.2905793
idGeorgia 10.51677 5.81156 1.8096 0.0707251 .
idHawaii -11.69777 10.37083 -1.1279 0.2596761
idIdaho -11.78341 10.69951 -1.1013 0.2710927
idIllinois 21.22398 8.78802 2.4151 0.0159518 *
idIndiana 9.78377 4.69891 2.0821 0.0376442 *
idIowa 5.53986 5.89189 0.9403 0.3473696
idKansas 2.06286 4.94746 0.4170 0.6768240
idKentucky 1.92217 3.09811 0.6204 0.5351466
idLouisiana 2.90581 2.97279 0.9775 0.3286297
idMaine -12.74950 11.87882 -1.0733 0.2834584
idMaryland 14.65702 4.17272 3.5126 0.0004684 ***
idMassachusetts 49.53310 6.77919 7.3066 6.581e-13 ***
idMichigan 38.70164 8.04702 4.8094 1.805e-06 ***
idMinnesota 30.37491 7.07234 4.2949 1.960e-05 ***
idMissouri 7.05468 3.78884 1.8620 0.0629712 .
idNebraska -0.29771 8.33389 -0.0357 0.9715120
idNevada 7.51749 6.04027 1.2446 0.2136538
idNewHampshire 0.17175 11.25424 0.0153 0.9878281
idNewJersey 24.96416 6.55534 3.8082 0.0001506 ***
idNewMexico 1.61323 7.17393 0.2249 0.8221347
idNewYork 60.25329 12.89016 4.6744 3.454e-06 ***
idNorthCarolina 23.33809 5.74173 4.0646 5.281e-05 ***
idOhio 33.67250 7.91917 4.2520 2.366e-05 ***
idOklahoma 3.71790 2.92646 1.2704 0.2042934
idOregon 17.49619 5.33319 3.2806 0.0010802 **
idPennsylvania 36.18291 8.86106 4.0834 4.881e-05 ***
idRhodeIsland -12.45283 12.03079 -1.0351 0.3009413
idSouthCarolina 19.09849 2.17070 8.7983 < 2.2e-16 ***
idSouthDakota -21.38993 14.58621 -1.4664 0.1429152
idTennessee 7.25213 3.48123 2.0832 0.0375461 *
idTexas 18.39608 12.96298 1.4191 0.1562484
idUtah 6.71012 6.19892 1.0825 0.2793681
idVermont -34.56763 17.24154 -2.0049 0.0453064 *
idVirginia 17.82602 5.43018 3.2828 0.0010721 **
idWashington 27.03717 6.40090 4.2240 2.674e-05 ***
idWisconsin 22.77300 6.41202 3.5516 0.0004050 ***
time2000 1476.18759 205.53931 7.1820 1.560e-12 ***
time2001 1476.90742 205.61763 7.1828 1.552e-12 ***
time2002 1479.05387 205.66997 7.1914 1.463e-12 ***
time2003 1479.88867 205.67901 7.1951 1.426e-12 ***
time2004 1481.34026 205.77541 7.1988 1.390e-12 ***
time2005 1483.52711 205.86268 7.2064 1.319e-12 ***
time2006 1485.58601 205.95819 7.2130 1.260e-12 ***
time2007 1488.60971 205.94257 7.2283 1.134e-12 ***
time2008 1491.03125 205.90197 7.2415 1.035e-12 ***
time2009 1495.21076 205.90425 7.2617 8.999e-13 ***
time2010 1495.96234 206.00382 7.2618 8.990e-13 ***
time2011 1494.72551 206.04563 7.2543 9.469e-13 ***
time2012 1493.36515 206.16762 7.2435 1.021e-12 ***
time2013 1492.93656 206.00065 7.2472 9.946e-13 ***
time2014 1487.95498 206.03251 7.2219 1.185e-12 ***
time2015 1488.31384 206.17217 7.2188 1.211e-12 ***
time2016 1485.75453 206.24378 7.2039 1.342e-12 ***
time2017 1486.28877 206.23496 7.2068 1.316e-12 ***
time2018 1486.18737 206.19950 7.2075 1.309e-12 ***
time2019 1484.95597 206.19339 7.2018 1.362e-12 ***
iis61 -111.65310 8.84913 -12.6174 < 2.2e-16 ***
iis62 -85.92291 8.86078 -9.6970 < 2.2e-16 ***
iis63 -93.83658 8.83403 -10.6222 < 2.2e-16 ***
iis64 -93.85703 8.77749 -10.6929 < 2.2e-16 ***
iis65 -65.39707 8.72845 -7.4924 1.776e-13 ***
iis66 -41.26424 8.67679 -4.7557 2.342e-06 ***
iis67 47.75304 8.63077 5.5329 4.257e-08 ***
iis68 76.13625 8.59809 8.8550 < 2.2e-16 ***
iis69 123.06583 8.58552 14.3341 < 2.2e-16 ***
iis70 155.73013 8.61601 18.0745 < 2.2e-16 ***
iis71 123.53753 8.60993 14.3483 < 2.2e-16 ***
iis72 113.60502 8.60761 13.1982 < 2.2e-16 ***
iis73 99.69571 8.57885 11.6211 < 2.2e-16 ***
iis74 91.81323 8.53608 10.7559 < 2.2e-16 ***
iis75 33.19204 8.55870 3.8782 0.0001138 ***
iis76 30.03195 8.47703 3.5427 0.0004187 ***
iis77 30.08749 8.46404 3.5547 0.0004003 ***
iis409 28.77456 7.37695 3.9006 0.0001039 ***
fesisCalifornia.2019 -25.86862 8.46053 -3.0576 0.0023050 **
fesisColorado.2004 11.16112 3.89952 2.8622 0.0043162 **
fesisConnecticut.2009 -15.58752 3.15067 -4.9474 9.155e-07 ***
fesisMassachusetts.2006 30.12231 3.88332 7.7569 2.624e-14 ***
fesisMassachusetts.2014 -23.01753 3.86010 -5.9629 3.701e-09 ***
fesisNewYork.2014 -18.42352 3.52906 -5.2205 2.271e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 188.314 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 92.277 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.82062
R-squared 0.96999
Log-lik.(n=900) -2959.00049 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 01:18:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -300.17641 43.34860 -6.9247 1.064e-11 ***
lpop 18.65982 10.47361 1.7816 0.0752872 .
lgdp_sq 11.66814 1.67965 6.9468 9.203e-12 ***
avg_temp 0.22373 0.36714 0.6094 0.5424790
idCalifornia 98.06189 18.50738 5.2985 1.607e-07 ***
idColorado 16.97661 6.33916 2.6781 0.0075949 **
idConnecticut 29.95449 7.09051 4.2246 2.741e-05 ***
idDelaware -7.19076 16.52565 -0.4351 0.6636164
idDistrictofColumbia 9.03451 20.61481 0.4383 0.6613503
idFlorida -16.66243 10.29375 -1.6187 0.1060051
idGeorgia -11.31261 4.58030 -2.4698 0.0137766 *
idIdaho -27.09762 14.24958 -1.9016 0.0576658 .
idIllinois -3.07036 7.81444 -0.3929 0.6945177
idIndiana -8.94585 4.05017 -2.2088 0.0275446 *
idIowa -9.49814 7.87326 -1.2064 0.2281164
idKentucky -15.14228 4.38382 -3.4541 0.0005885 ***
idMaryland -3.47244 3.69556 -0.9396 0.3477638
idMassachusetts 31.23550 6.47060 4.8273 1.732e-06 ***
idMichigan 17.27758 7.46945 2.3131 0.0210327 *
idMinnesota 13.21951 7.71956 1.7125 0.0872938 .
idMissouri -11.29689 3.24247 -3.4840 0.0005276 ***
idNevada -7.08141 8.38976 -0.8441 0.3989543
idNewHampshire -13.20405 14.72010 -0.8970 0.3700512
idNewJersey 3.81392 5.43885 0.7012 0.4834098
idNewMexico -13.39165 10.23793 -1.3080 0.1913276
idNewYork 30.82061 12.76793 2.4139 0.0160617 *
idNorthCarolina 1.83407 4.28686 0.4278 0.6689143
idOhio 10.71897 6.84579 1.5658 0.1178948
idOklahoma -12.78057 4.91276 -2.6015 0.0094958 **
idOregon 1.41064 6.78289 0.2080 0.8353176
idPennsylvania 12.40420 7.98212 1.5540 0.1206782
idRhodeIsland -26.59619 15.86767 -1.6761 0.0942014 .
idSouthCarolina 1.46004 3.76391 0.3879 0.6982141
idTennessee -11.56301 2.57735 -4.4864 8.586e-06 ***
idTexas -13.42337 12.98340 -1.0339 0.3015788
idUtah -8.32188 8.52999 -0.9756 0.3296292
idVirginia -2.49090 4.15651 -0.5993 0.5491993
idWashington 8.13119 6.08848 1.3355 0.1821855
idWisconsin 5.10611 6.81072 0.7497 0.4537007
time2000 1762.06829 277.49340 6.3499 4.080e-10 ***
time2001 1762.65896 277.56450 6.3504 4.068e-10 ***
time2002 1765.17555 277.61378 6.3584 3.875e-10 ***
time2003 1765.76886 277.63711 6.3600 3.837e-10 ***
time2004 1767.64418 277.76801 6.3637 3.750e-10 ***
time2005 1769.82432 277.87185 6.3692 3.626e-10 ***
time2006 1772.45413 277.98304 6.3761 3.476e-10 ***
time2007 1775.56255 277.97257 6.3875 3.240e-10 ***
time2008 1779.33504 277.91156 6.4025 2.955e-10 ***
time2009 1782.93389 277.85645 6.4167 2.707e-10 ***
time2010 1783.97190 277.95506 6.4182 2.683e-10 ***
time2011 1782.16553 277.99421 6.4108 2.808e-10 ***
time2012 1780.25431 278.11165 6.4012 2.979e-10 ***
time2013 1780.03949 277.95239 6.4041 2.926e-10 ***
time2014 1773.83388 278.01284 6.3804 3.386e-10 ***
time2015 1774.17667 278.16267 6.3782 3.432e-10 ***
time2016 1770.51725 278.23025 6.3635 3.756e-10 ***
time2017 1771.58801 278.23263 6.3673 3.669e-10 ***
time2018 1771.35379 278.21903 6.3668 3.681e-10 ***
time2019 1768.94842 278.22536 6.3580 3.885e-10 ***
iis21 -99.75580 9.34712 -10.6724 < 2.2e-16 ***
iis22 -73.98103 9.35802 -7.9056 1.168e-14 ***
iis23 -82.44606 9.31976 -8.8464 < 2.2e-16 ***
iis24 -82.57909 9.24344 -8.9338 < 2.2e-16 ***
iis25 -54.81926 9.16924 -5.9786 3.738e-09 ***
iis26 -31.00394 9.09195 -3.4100 0.0006903 ***
iis27 57.12516 9.02413 6.3303 4.601e-10 ***
iis28 85.23032 8.98495 9.4859 < 2.2e-16 ***
iis29 130.67288 8.97014 14.5675 < 2.2e-16 ***
iis30 164.10517 9.01447 18.2046 < 2.2e-16 ***
iis31 131.45222 8.99562 14.6129 < 2.2e-16 ***
iis32 121.94421 8.99051 13.5637 < 2.2e-16 ***
iis33 108.28403 8.95089 12.0976 < 2.2e-16 ***
iis34 99.90557 8.90336 11.2211 < 2.2e-16 ***
iis35 42.11101 8.94605 4.7072 3.079e-06 ***
iis36 38.58342 8.81441 4.3773 1.403e-05 ***
iis37 39.48288 8.78507 4.4943 8.282e-06 ***
fesisMassachusetts.2006 32.04912 4.15718 7.7093 4.840e-14 ***
fesisMassachusetts.2014 -24.81549 4.12426 -6.0170 2.989e-09 ***
fesisNewYork.2014 -17.82522 3.88932 -4.5831 5.508e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 128.869 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 68.261 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.47834
R-squared 0.96914
Log-lik.(n=720) -2430.78390 AR(1)
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:34:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.025548 0.029360 0.8702 0.3844525
lgdp -271.297003 1053.209138 -0.2576 0.7967843
lpop 228.017061 874.416678 0.2608 0.7943363
lgdp_sq 9.330629 36.659326 0.2545 0.7991527
avg_temp -0.217014 0.538500 -0.4030 0.6870507
idAlaska -0.816539 0.170046 -4.8019 1.854e-06 ***
idArizona 1.866665 0.131096 14.2389 < 2.2e-16 ***
idArkansas -1.055711 0.160051 -6.5961 7.368e-11 ***
idCalifornia 4.132973 0.172839 23.9123 < 2.2e-16 ***
idColorado 2.203627 0.135777 16.2298 < 2.2e-16 ***
idConnecticut 2.853757 0.176009 16.2137 < 2.2e-16 ***
idDelaware 1.720907 0.140719 12.2294 < 2.2e-16 ***
idDistrictofColumbia 0.198940 0.168385 1.1815 0.2377481
idFlorida 2.293885 0.137253 16.7129 < 2.2e-16 ***
idGeorgia 1.609191 0.128322 12.5402 < 2.2e-16 ***
idHawaii 0.352946 0.151739 2.3260 0.0202499 *
idIdaho -0.852221 0.368406 -2.3133 0.0209430 *
idIllinois 2.291793 0.137694 16.6441 < 2.2e-16 ***
idIndiana 1.163412 0.122812 9.4731 < 2.2e-16 ***
idIowa 0.234318 0.117330 1.9971 0.0461314 *
idKansas -0.109820 0.116848 -0.9398 0.3475587
idKentucky 0.152675 0.118609 1.2872 0.1983666
idLouisiana 0.075953 0.116940 0.6495 0.5161828
idMaine 0.142891 0.118547 1.2054 0.2283995
idMaryland 1.473771 0.126289 11.6698 < 2.2e-16 ***
idMassachusetts 2.979354 0.149686 19.9040 < 2.2e-16 ***
idMichigan 2.551653 0.141766 17.9990 < 2.2e-16 ***
idMinnesota 2.122355 0.134922 15.7302 < 2.2e-16 ***
idMississippi -1.255662 0.125898 -9.9737 < 2.2e-16 ***
idMissouri 0.867728 0.121724 7.1286 2.148e-12 ***
idMontana -0.668024 0.117863 -5.6678 1.974e-08 ***
idNebraska -0.668675 0.147025 -4.5480 6.192e-06 ***
idNevada 0.802119 0.120276 6.6690 4.604e-11 ***
idNewHampshire 1.029036 0.122003 8.4345 < 2.2e-16 ***
idNewJersey 2.179465 0.136230 15.9985 < 2.2e-16 ***
idNewMexico 1.156120 0.123158 9.3873 < 2.2e-16 ***
idNewYork 3.216159 0.154457 20.8224 < 2.2e-16 ***
idNorthCarolina 2.191633 0.135761 16.1433 < 2.2e-16 ***
idNorthDakota -0.900256 0.122615 -7.3422 4.874e-13 ***
idOhio 2.549335 0.142027 17.9496 < 2.2e-16 ***
idOklahoma 0.602173 0.118698 5.0731 4.795e-07 ***
idOregon 1.576395 0.130091 12.1176 < 2.2e-16 ***
idPennsylvania 2.617414 0.142879 18.3191 < 2.2e-16 ***
idRhodeIsland 1.291511 0.225893 5.7174 1.492e-08 ***
idSouthCarolina 1.298333 0.164764 7.8799 9.881e-15 ***
idSouthDakota -1.080139 0.169771 -6.3623 3.226e-10 ***
idTennessee 1.015670 0.122156 8.3145 3.580e-16 ***
idTexas 2.734177 0.145037 18.8516 < 2.2e-16 ***
idUtah 0.860456 0.120890 7.1177 2.315e-12 ***
idVermont -0.069933 0.116856 -0.5985 0.5496955
idVirginia 1.801900 0.130018 13.8589 < 2.2e-16 ***
idWashington 2.078178 0.134374 15.4656 < 2.2e-16 ***
idWestVirginia -0.564325 0.133340 -4.2322 2.562e-05 ***
idWisconsin 1.841888 0.130766 14.0854 < 2.2e-16 ***
idWyoming -0.472258 0.124431 -3.7953 0.0001578 ***
time2001 8.522946 37.538329 0.2270 0.8204415
time2002 9.185170 39.456253 0.2328 0.8159769
time2003 9.366253 39.518064 0.2370 0.8127040
time2004 11.217757 45.843061 0.2447 0.8067478
time2005 11.480066 45.517791 0.2522 0.8009386
time2006 9.561791 37.283523 0.2565 0.7976558
time2007 8.070956 30.616106 0.2636 0.7921374
time2008 5.119411 19.655540 0.2605 0.7945741
time2009 1.849227 6.692997 0.2763 0.7823896
time2010 1.415265 5.062886 0.2795 0.7798998
time2011 1.687417 5.643675 0.2990 0.7650179
time2012 1.478594 4.553834 0.3247 0.7454932
time2013 0.669017 2.422500 0.2762 0.7824853
time2014 -0.621215 1.355555 -0.4583 0.6468718
time2015 -0.142774 0.705391 -0.2024 0.8396490
iis17 -1.246326 0.368850 -3.3789 0.0007604 ***
iis58 1.897239 0.383712 4.9444 9.182e-07 ***
iis72 -1.495621 0.378174 -3.9548 8.289e-05 ***
iis76 -1.597992 0.378788 -4.2187 2.718e-05 ***
iis156 -1.363734 0.387733 -3.5172 0.0004590 ***
iis160 -1.202554 0.417233 -2.8822 0.0040473 **
iis224 -2.137427 0.441254 -4.8440 1.509e-06 ***
iis226 -2.022036 0.446155 -4.5321 6.665e-06 ***
iis227 -2.221726 0.439350 -5.0569 5.210e-07 ***
iis329 -1.433223 0.368661 -3.8876 0.0001090 ***
iis365 -1.346062 0.369047 -3.6474 0.0002808 ***
iis457 1.371618 0.370158 3.7055 0.0002245 ***
iis458 2.049960 0.371789 5.5138 4.646e-08 ***
iis459 1.771542 0.374015 4.7366 2.542e-06 ***
iis476 -1.363437 0.368820 -3.6968 0.0002322 ***
iis521 -1.103542 0.380141 -2.9030 0.0037908 **
iis652 1.127175 0.369548 3.0501 0.0023575 **
iis653 -1.061160 0.370646 -2.8630 0.0042985 **
iis705 1.315311 0.368752 3.5669 0.0003812 ***
iis783 1.730939 0.387584 4.4660 9.033e-06 ***
iis788 0.977119 0.376217 2.5972 0.0095588 **
iis801 -1.264700 0.368664 -3.4305 0.0006312 ***
iis952 1.230878 0.370659 3.3208 0.0009355 ***
fesisAlaska.2007 -0.903691 0.178779 -5.0548 5.265e-07 ***
fesisArkansas.2009 1.018049 0.181334 5.6142 2.665e-08 ***
fesisConnecticut.2009 -0.632630 0.167861 -3.7688 0.0001752 ***
fesisDelaware.2014 -0.851652 0.178432 -4.7730 2.133e-06 ***
fesisDistrictofColumbia.2008 -0.683820 0.255144 -2.6801 0.0075001 **
fesisDistrictofColumbia.2012 0.998617 0.246720 4.0476 5.642e-05 ***
fesisHawaii.2009 -0.661078 0.194068 -3.4064 0.0006887 ***
fesisHawaii.2015 0.832904 0.296419 2.8099 0.0050683 **
fesisIdaho.2002 1.168267 0.368923 3.1667 0.0015962 **
fesisNebraska.2011 0.639887 0.170128 3.7612 0.0001806 ***
fesisRhodeIsland.2004 -0.933086 0.226515 -4.1193 4.167e-05 ***
fesisSouthCarolina.2008 0.846736 0.172369 4.9123 1.077e-06 ***
fesisSouthDakota.2008 1.155955 0.187733 6.1575 1.133e-09 ***
fesisSouthDakota.2019 -1.692667 0.376619 -4.4944 7.932e-06 ***
fesisWestVirginia.2013 -0.715000 0.171515 -4.1687 3.373e-05 ***
fesisWyoming.2017 -0.978257 0.229000 -4.2719 2.155e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.51824 1 0.47160
Ljung-Box ARCH(1) 4.38492 1 0.03626 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.35513
R-squared 0.94438
Log-lik.(n=969) -317.26342 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:38:09 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 8.0852e-03 3.0471e-02 0.2653 0.7908215
lgdp -1.4860e+02 1.0159e+03 -0.1463 0.8837451
lpop 1.2664e+02 8.4344e+02 0.1501 0.8806931
lgdp_sq 5.0309e+00 3.5361e+01 0.1423 0.8869043
avg_temp -1.4849e-01 5.1948e-01 -0.2858 0.7750733
idArizona 1.7058e+00 1.2731e-01 13.3988 < 2.2e-16 ***
idArkansas -8.9445e-01 1.8318e-01 -4.8828 1.278e-06 ***
idCalifornia 4.0125e+00 1.7300e-01 23.1942 < 2.2e-16 ***
idColorado 2.0485e+00 1.3252e-01 15.4586 < 2.2e-16 ***
idConnecticut 2.7283e+00 1.6996e-01 16.0529 < 2.2e-16 ***
idDelaware 1.5579e+00 1.3521e-01 11.5223 < 2.2e-16 ***
idDistrictofColumbia 1.8620e-02 1.5632e-01 0.1191 0.9052164
idFlorida 2.1405e+00 1.3415e-01 15.9555 < 2.2e-16 ***
idGeorgia 1.4445e+00 1.2421e-01 11.6299 < 2.2e-16 ***
idHawaii 1.7835e-01 1.4185e-01 1.2574 0.2090130
idIdaho 1.2478e-01 1.1318e-01 1.1025 0.2706092
idIllinois 2.1389e+00 1.3464e-01 15.8857 < 2.2e-16 ***
idIndiana 9.8967e-01 1.1800e-01 8.3869 2.461e-16 ***
idIowa -1.1676e-02 1.1320e-01 -0.1031 0.9178765
idKansas -3.0525e-01 1.1116e-01 -2.7461 0.0061743 **
idKentucky -4.1678e-02 1.1275e-01 -0.3696 0.7117558
idLouisiana 7.8243e-03 1.3247e-01 0.0591 0.9529166
idMaine 1.1241e-02 1.1400e-01 0.0986 0.9214781
idMaryland 1.3060e+00 1.2192e-01 10.7119 < 2.2e-16 ***
idMassachusetts 2.8388e+00 1.4784e-01 19.2014 < 2.2e-16 ***
idMichigan 2.4032e+00 1.3914e-01 17.2715 < 2.2e-16 ***
idMinnesota 1.9662e+00 1.3157e-01 14.9447 < 2.2e-16 ***
idMissouri 6.8642e-01 1.1632e-01 5.9013 5.455e-09 ***
idNebraska -7.7372e-01 1.3826e-01 -5.5961 3.073e-08 ***
idNevada 8.8252e-01 1.3403e-01 6.5845 8.573e-11 ***
idNewHampshire 8.5367e-01 1.1708e-01 7.2911 7.811e-13 ***
idNewJersey 2.0249e+00 1.3302e-01 15.2225 < 2.2e-16 ***
idNewMexico 9.8303e-01 1.1839e-01 8.3031 4.708e-16 ***
idNewYork 3.0800e+00 1.5305e-01 20.1235 < 2.2e-16 ***
idNorthCarolina 2.0365e+00 1.3250e-01 15.3700 < 2.2e-16 ***
idOhio 2.4011e+00 1.3943e-01 17.2212 < 2.2e-16 ***
idOklahoma 4.1837e-01 1.1332e-01 3.6920 0.0002386 ***
idOregon 2.2097e+00 2.1794e-01 10.1394 < 2.2e-16 ***
idPennsylvania 2.4701e+00 1.4037e-01 17.5973 < 2.2e-16 ***
idRhodeIsland 1.0288e+00 1.8735e-01 5.4913 5.463e-08 ***
idSouthCarolina 1.1452e+00 1.5517e-01 7.3803 4.194e-13 ***
idSouthDakota -1.2725e+00 1.5780e-01 -8.0640 2.913e-15 ***
idTennessee 8.3373e-01 1.1683e-01 7.1363 2.263e-12 ***
idTexas 2.5890e+00 1.4274e-01 18.1381 < 2.2e-16 ***
idUtah 6.8267e-01 1.1582e-01 5.8942 5.687e-09 ***
idVermont -2.6505e-01 1.1117e-01 -2.3843 0.0173594 *
idVirginia 1.6396e+00 1.2610e-01 13.0018 < 2.2e-16 ***
idWashington 1.9214e+00 1.3096e-01 14.6718 < 2.2e-16 ***
idWisconsin 1.6806e+00 1.2694e-01 13.2391 < 2.2e-16 ***
time2001 3.9902e+00 3.6210e+01 0.1102 0.9122820
time2002 4.4993e+00 3.8060e+01 0.1182 0.9059268
time2003 4.6090e+00 3.8119e+01 0.1209 0.9037950
time2004 5.8072e+00 4.4219e+01 0.1313 0.8955521
time2005 6.1770e+00 4.3906e+01 0.1407 0.8881533
time2006 5.1663e+00 3.5963e+01 0.1437 0.8858101
time2007 4.4629e+00 2.9532e+01 0.1511 0.8799207
time2008 2.7940e+00 1.8959e+01 0.1474 0.8828823
time2009 1.0178e+00 6.4562e+00 0.1576 0.8747792
time2010 8.4608e-01 4.8837e+00 0.1732 0.8625061
time2011 1.0320e+00 5.4439e+00 0.1896 0.8496945
time2012 9.5735e-01 4.3927e+00 0.2179 0.8275340
time2013 4.1900e-01 2.3367e+00 0.1793 0.8577399
time2014 -4.8124e-01 1.3076e+00 -0.3680 0.7129442
time2015 -1.0254e-01 6.8034e-01 -0.1507 0.8802328
iis2 -1.1887e+00 3.3595e-01 -3.5383 0.0004275 ***
iis4 -1.1266e+00 3.3618e-01 -3.3513 0.0008446 ***
iis10 -1.2004e+00 3.3592e-01 -3.5735 0.0003748 ***
iis17 -1.4519e+00 3.3601e-01 -4.3210 1.762e-05 ***
iis39 1.5574e+00 3.6361e-01 4.2833 2.081e-05 ***
iis53 -1.4611e+00 3.4270e-01 -4.2636 2.268e-05 ***
iis57 -1.5623e+00 3.4339e-01 -4.5495 6.269e-06 ***
iis137 -1.3525e+00 3.5157e-01 -3.8469 0.0001298 ***
iis141 -1.1341e+00 3.7898e-01 -2.9924 0.0028584 **
iis205 -2.0925e+00 4.0041e-01 -5.2260 2.247e-07 ***
iis207 -1.9863e+00 4.0612e-01 -4.8910 1.228e-06 ***
iis208 -2.2088e+00 3.9807e-01 -5.5486 3.994e-08 ***
iis210 -1.1403e+00 3.3424e-01 -3.4115 0.0006805 ***
iis268 1.0663e+00 3.3525e-01 3.1805 0.0015306 **
iis310 -1.4011e+00 3.3401e-01 -4.1948 3.057e-05 ***
iis346 -1.3957e+00 3.3499e-01 -4.1664 3.454e-05 ***
iis352 -1.1317e+00 3.3496e-01 -3.3785 0.0007664 ***
iis438 -1.3310e+00 3.3417e-01 -3.9829 7.472e-05 ***
iis464 -1.1658e+00 3.4532e-01 -3.3760 0.0007732 ***
iis466 -9.9578e-01 3.4290e-01 -2.9040 0.0037927 **
iis707 1.7350e+00 3.5131e-01 4.9388 9.692e-07 ***
iis722 -1.5802e+00 3.4521e-01 -4.5775 5.506e-06 ***
iis725 -1.1993e+00 3.3400e-01 -3.5906 0.0003514 ***
fesisArkansas.2006 -8.2348e-01 2.4853e-01 -3.3134 0.0009657 ***
fesisArkansas.2009 1.4615e+00 2.1743e-01 6.7220 3.548e-11 ***
fesisConnecticut.2009 -6.7324e-01 1.5260e-01 -4.4118 1.175e-05 ***
fesisDelaware.2014 -8.6558e-01 1.6221e-01 -5.3362 1.258e-07 ***
fesisDistrictofColumbia.2008 -7.3642e-01 2.3169e-01 -3.1785 0.0015410 **
fesisDistrictofColumbia.2012 1.0349e+00 2.2459e-01 4.6080 4.776e-06 ***
fesisHawaii.2009 -7.0419e-01 1.7602e-01 -4.0006 6.945e-05 ***
fesisHawaii.2015 8.2106e-01 2.6955e-01 3.0460 0.0024002 **
fesisLouisiana.2011 -8.6166e-01 1.9401e-01 -4.4413 1.029e-05 ***
fesisLouisiana.2015 1.0750e+00 2.1898e-01 4.9093 1.122e-06 ***
fesisNebraska.2012 6.1973e-01 1.5996e-01 3.8744 0.0001162 ***
fesisNevada.2012 -6.1672e-01 1.5286e-01 -4.0344 6.033e-05 ***
fesisOregon.2004 -8.6484e-01 2.0575e-01 -4.2035 2.945e-05 ***
fesisRhodeIsland.2005 -8.9530e-01 1.8485e-01 -4.8434 1.550e-06 ***
fesisSouthCarolina.2008 8.3244e-01 1.5648e-01 5.3198 1.372e-07 ***
fesisSouthDakota.2008 1.7494e+00 2.3167e-01 7.5513 1.252e-13 ***
fesisSouthDakota.2011 -7.0939e-01 2.2021e-01 -3.2214 0.0013307 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00007252 1 0.99321
Ljung-Box ARCH(1) 3.04742943 1 0.08087 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.32133
R-squared 0.94395
Log-lik.(n=855) -190.51566 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:38:03 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.0030e-02 3.3704e-02 1.7811 0.0754013 .
lgdp -4.5846e+02 3.8837e+02 -1.1805 0.2382718
lpop 4.4674e+02 3.7864e+02 1.1798 0.2385222
lgdp_sq 1.1072e+01 9.3631e+00 1.1825 0.2374560
avg_temp 1.0796e+00 8.8211e-01 1.2239 0.2214537
idCalifornia 2.1866e+00 1.1688e-01 18.7079 < 2.2e-16 ***
idColorado 3.2556e-01 8.7789e-02 3.7084 0.0002277 ***
idConnecticut 9.4776e-01 1.1905e-01 7.9609 8.413e-15 ***
idDelaware -1.4491e-01 9.7003e-02 -1.4939 0.1357197
idDistrictofColumbia -1.6004e+00 1.4476e-01 -11.0558 < 2.2e-16 ***
idFlorida 4.1246e-01 8.8265e-02 4.6730 3.658e-06 ***
idGeorgia -2.4996e-01 8.7387e-02 -2.8604 0.0043763 **
idIdaho -1.4907e+00 1.0422e-01 -14.3044 < 2.2e-16 ***
idIllinois 4.0939e-01 8.8427e-02 4.6296 4.482e-06 ***
idIndiana -6.7786e-01 9.0547e-02 -7.4863 2.500e-13 ***
idIowa -2.4736e+00 2.8739e-01 -8.6074 < 2.2e-16 ***
idKentucky -1.5900e+00 1.0891e-01 -14.5997 < 2.2e-16 ***
idMaryland -3.7936e-01 8.8077e-02 -4.3072 1.928e-05 ***
idMassachusetts 1.0726e+00 9.5478e-02 11.2342 < 2.2e-16 ***
idMichigan 6.6052e-01 9.0303e-02 7.3145 8.194e-13 ***
idMinnesota 2.4627e-01 8.7563e-02 2.8125 0.0050744 **
idMissouri -9.5873e-01 9.5410e-02 -10.0486 < 2.2e-16 ***
idNevada -7.9172e-01 1.0530e-01 -7.5186 1.995e-13 ***
idNewHampshire -8.0905e-01 9.1451e-02 -8.8468 < 2.2e-16 ***
idNewJersey 3.0035e-01 8.7924e-02 3.4161 0.0006777 ***
idNewMexico -6.8645e-01 9.0206e-02 -7.6098 1.050e-13 ***
idNewYork 1.3007e+00 9.9297e-02 13.0989 < 2.2e-16 ***
idNorthCarolina 3.1360e-01 8.7785e-02 3.5724 0.0003818 ***
idOhio 6.5766e-01 9.0445e-02 7.2714 1.099e-12 ***
idOklahoma -1.2192e+00 9.7670e-02 -12.4833 < 2.2e-16 ***
idOregon 4.3164e-01 1.6910e-01 2.5526 0.0109360 *
idPennsylvania 7.2399e-01 9.0922e-02 7.9628 8.295e-15 ***
idRhodeIsland -5.7846e-01 1.7115e-01 -3.3799 0.0007715 ***
idSouthCarolina -5.5654e-01 1.2095e-01 -4.6013 5.113e-06 ***
idTennessee -8.2001e-01 9.4551e-02 -8.6726 < 2.2e-16 ***
idTexas 8.3642e-01 9.2231e-02 9.0687 < 2.2e-16 ***
idUtah -9.1561e-01 9.4217e-02 -9.7181 < 2.2e-16 ***
idVirginia -9.7605e-04 8.8351e-02 -0.0110 0.9911893
idWashington 2.0339e-01 8.7440e-02 2.3261 0.0203434 *
idWisconsin -2.3917e-02 8.7082e-02 -0.2747 0.7836765
time2001 6.6398e+01 5.6557e+01 1.1740 0.2408549
time2002 6.2677e+01 5.3321e+01 1.1755 0.2402668
time2003 6.3477e+01 5.4045e+01 1.1745 0.2406423
time2004 6.1724e+01 5.2439e+01 1.1771 0.2396345
time2005 5.9625e+01 5.0548e+01 1.1796 0.2386266
time2006 5.3542e+01 4.5242e+01 1.1834 0.2370976
time2007 4.8794e+01 4.1170e+01 1.1852 0.2364079
time2008 4.0377e+01 3.3911e+01 1.1907 0.2342484
time2009 1.9811e+01 1.6323e+01 1.2137 0.2253346
time2010 1.8064e+01 1.4820e+01 1.2189 0.2233633
time2011 1.7565e+01 1.4432e+01 1.2170 0.2240647
time2012 1.3513e+01 1.1085e+01 1.2191 0.2232968
time2013 1.1317e+01 9.2030e+00 1.2298 0.2192649
time2014 4.7866e+00 4.0022e+00 1.1960 0.2321658
time2015 2.3668e+00 1.8617e+00 1.2713 0.2041047
iis99 -1.3989e+00 2.9446e-01 -4.7506 2.533e-06 ***
iis103 -1.0358e+00 3.3918e-01 -3.0539 0.0023578 **
iis153 -1.2213e+00 2.8046e-01 -4.3545 1.565e-05 ***
iis211 9.8225e-01 2.8180e-01 3.4857 0.0005263 ***
iis229 -1.0677e+00 2.8100e-01 -3.7995 0.0001596 ***
iis234 -1.5284e+00 2.8016e-01 -5.4555 7.114e-08 ***
iis324 -1.4253e+00 2.8031e-01 -5.0848 4.909e-07 ***
iis360 -9.3413e-01 2.9142e-01 -3.2054 0.0014193 **
iis551 -9.3761e-01 2.8129e-01 -3.3333 0.0009103 ***
iis573 -1.1926e+00 2.7981e-01 -4.2620 2.348e-05 ***
iis627 -1.0871e+00 2.7985e-01 -3.8847 0.0001137 ***
iis628 -1.1581e+00 2.8041e-01 -4.1298 4.139e-05 ***
fesisConnecticut.2009 -6.0531e-01 1.2834e-01 -4.7166 2.977e-06 ***
fesisDelaware.2014 -8.1387e-01 1.3667e-01 -5.9549 4.402e-09 ***
fesisDistrictofColumbia.2008 -8.5588e-01 2.2505e-01 -3.8032 0.0001573 ***
fesisDistrictofColumbia.2011 1.0986e+00 2.1860e-01 5.0256 6.609e-07 ***
fesisIowa.2002 8.9389e-01 2.8108e-01 3.1802 0.0015464 **
fesisNevada.2012 -4.4497e-01 1.3416e-01 -3.3166 0.0009654 ***
fesisOregon.2004 -7.6737e-01 1.7288e-01 -4.4388 1.074e-05 ***
fesisRhodeIsland.2004 -8.1688e-01 1.7346e-01 -4.7094 3.081e-06 ***
fesisSouthCarolina.2008 8.3203e-01 1.3213e-01 6.2973 5.809e-10 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.13453 1 0.7138
Ljung-Box ARCH(1) 2.09141 1 0.1481
SE of regression 0.26839
R-squared 0.94423
Log-lik.(n=684) -32.88726 0.05
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:34:41 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.035999 0.025489 1.4123 0.1582317
lgdp -278.707824 901.599144 -0.3091 0.7573043
lpop 235.656082 748.531573 0.3148 0.7529752
lgdp_sq 9.551242 31.383386 0.3043 0.7609457
avg_temp -0.341250 0.462053 -0.7386 0.4603911
idAlaska -0.222407 0.249159 -0.8926 0.3723182
idArizona 2.623529 0.227817 11.5160 < 2.2e-16 ***
idArkansas -0.330358 0.271743 -1.2157 0.2244493
idCalifornia 4.821773 0.247136 19.5106 < 2.2e-16 ***
idColorado 2.913143 0.229374 12.7004 < 2.2e-16 ***
idConnecticut 3.556685 0.247278 14.3833 < 2.2e-16 ***
idDelaware 2.428038 0.231048 10.5088 < 2.2e-16 ***
idDistrictofColumbia 0.933549 0.242581 3.8484 0.0001281 ***
idFlorida 3.002386 0.230018 13.0528 < 2.2e-16 ***
idGeorgia 2.324441 0.226212 10.2755 < 2.2e-16 ***
idHawaii 1.006273 0.238405 4.2209 2.706e-05 ***
idIdaho 1.050539 0.222782 4.7155 2.834e-06 ***
idIllinois 2.999995 0.230212 13.0314 < 2.2e-16 ***
idIndiana 1.884082 0.223986 8.4116 < 2.2e-16 ***
idIowa 0.038665 0.363176 0.1065 0.9152417
idKansas 0.674396 0.222344 3.0331 0.0024968 **
idKentucky 0.943585 0.223303 4.2256 2.651e-05 ***
idLouisiana 1.020019 0.233284 4.3724 1.387e-05 ***
idMaine 0.938249 0.222988 4.2076 2.866e-05 ***
idMaryland 2.190846 0.225379 9.7207 < 2.2e-16 ***
idMassachusetts 3.680185 0.235668 15.6160 < 2.2e-16 ***
idMichigan 3.257210 0.232024 14.0382 < 2.2e-16 ***
idMinnesota 2.832474 0.229003 12.3687 < 2.2e-16 ***
idMississippi -0.207446 0.244661 -0.8479 0.3967465
idMissouri 1.596258 0.223793 7.1327 2.167e-12 ***
idMontana 0.017145 0.222867 0.0769 0.9386999
idNebraska 0.814053 0.363394 2.2401 0.0253499 *
idNevada 1.770039 0.230982 7.6631 5.137e-14 ***
idNewHampshire 1.750672 0.223669 7.8271 1.544e-14 ***
idNewJersey 2.888667 0.229571 12.5829 < 2.2e-16 ***
idNewMexico 1.876395 0.224123 8.3722 2.440e-16 ***
idNewYork 3.914335 0.237934 16.4513 < 2.2e-16 ***
idNorthCarolina 2.901160 0.229367 12.6486 < 2.2e-16 ***
idNorthDakota -0.102901 0.224832 -0.4577 0.6473033
idOhio 3.254728 0.232142 14.0204 < 2.2e-16 ***
idOklahoma 1.328863 0.222411 5.9748 3.435e-09 ***
idOregon 2.292152 0.227143 10.0912 < 2.2e-16 ***
idPennsylvania 3.322277 0.232527 14.2877 < 2.2e-16 ***
idRhodeIsland 1.984150 0.271778 7.3006 6.792e-13 ***
idSouthCarolina 2.014765 0.241115 8.3560 2.768e-16 ***
idSouthDakota -0.338304 0.243394 -1.3899 0.1649237
idTennessee 1.738881 0.223695 7.7735 2.293e-14 ***
idTexas 3.437726 0.233510 14.7220 < 2.2e-16 ***
idUtah 1.583547 0.223238 7.0935 2.832e-12 ***
idVermont 0.671469 0.223245 3.0078 0.0027124 **
idVirginia 2.578054 0.227806 11.3169 < 2.2e-16 ***
idWashington 2.788689 0.228767 12.1901 < 2.2e-16 ***
idWestVirginia 0.195871 0.226896 0.8633 0.3882467
idWisconsin 2.555122 0.227231 11.2446 < 2.2e-16 ***
idWyoming 0.237710 0.224139 1.0605 0.2892092
time2001 8.564272 32.138105 0.2665 0.7899341
time2002 9.262919 33.779997 0.2742 0.7839901
time2003 9.333836 33.831269 0.2759 0.7826994
time2004 11.373320 39.244543 0.2898 0.7720378
time2005 11.603100 38.965174 0.2978 0.7659457
time2006 9.753081 31.916811 0.3056 0.7600036
time2007 8.227461 26.209300 0.3139 0.7536665
time2008 4.991111 16.825454 0.2966 0.7668163
time2009 1.573493 5.729971 0.2746 0.7836872
time2010 1.163105 4.333782 0.2684 0.7884736
time2011 1.593190 4.831856 0.3297 0.7416912
time2012 1.505698 3.899775 0.3861 0.6995240
time2013 0.453737 2.072516 0.2189 0.8267587
time2014 -1.030361 1.162261 -0.8865 0.3756013
time2015 -0.211785 0.603040 -0.3512 0.7255325
iis4 -1.287736 0.310063 -4.1531 3.624e-05 ***
iis10 -1.292055 0.309978 -4.1682 3.397e-05 ***
iis13 -0.952364 0.310463 -3.0676 0.0022292 **
iis17 -1.555658 0.310263 -5.0140 6.539e-07 ***
iis22 0.854394 0.327217 2.6111 0.0091906 **
iis41 -0.833916 0.306986 -2.7165 0.0067377 **
iis58 1.835389 0.345293 5.3155 1.373e-07 ***
iis63 -1.834868 0.317402 -5.7809 1.057e-08 ***
iis64 -1.488481 0.318276 -4.6767 3.409e-06 ***
iis65 -1.477553 0.317560 -4.6528 3.818e-06 ***
iis72 -1.623267 0.316605 -5.1271 3.675e-07 ***
iis76 -1.885973 0.423673 -4.4515 9.710e-06 ***
iis156 -1.383783 0.322656 -4.2887 2.012e-05 ***
iis160 -1.194505 0.347434 -3.4381 0.0006155 ***
iis217 0.632016 0.319228 1.9798 0.0480577 *
iis224 -1.349125 0.319088 -4.2281 2.623e-05 ***
iis225 1.330078 0.320598 4.1487 3.693e-05 ***
iis226 -1.242724 0.321187 -3.8692 0.0001179 ***
iis227 -1.465807 0.320518 -4.5732 5.545e-06 ***
iis229 -1.248388 0.307321 -4.0622 5.330e-05 ***
iis315 -0.960789 0.306728 -3.1324 0.0017957 **
iis324 -1.076845 0.307836 -3.4981 0.0004938 ***
iis329 -1.475828 0.307204 -4.8041 1.849e-06 ***
iis343 -0.999518 0.315171 -3.1713 0.0015739 **
iis361 0.836665 0.333825 2.5063 0.0123933 *
iis365 -1.419522 0.307534 -4.6158 4.545e-06 ***
iis371 -1.117283 0.307547 -3.6329 0.0002977 ***
iis457 0.986316 0.322917 3.0544 0.0023283 **
iis458 1.719743 0.323357 5.3184 1.352e-07 ***
iis459 1.453769 0.324775 4.4762 8.674e-06 ***
iis469 -0.706080 0.314679 -2.2438 0.0251115 *
iis476 -1.446253 0.307237 -4.7073 2.947e-06 ***
iis505 1.035163 0.306770 3.3744 0.0007746 ***
iis521 -1.507157 0.316264 -4.7655 2.229e-06 ***
iis523 -1.279289 0.314788 -4.0640 5.290e-05 ***
iis532 1.684051 0.423601 3.9756 7.642e-05 ***
iis550 -1.585960 0.423225 -3.7473 0.0001913 ***
iis652 1.093047 0.307979 3.5491 0.0004086 ***
iis653 -1.107725 0.309033 -3.5845 0.0003577 ***
iis657 -0.963478 0.307743 -3.1308 0.0018053 **
iis705 1.299670 0.306965 4.2339 2.557e-05 ***
iis783 1.715184 0.322507 5.3183 1.353e-07 ***
iis788 1.249651 0.322337 3.8768 0.0001143 ***
iis789 0.999166 0.323712 3.0866 0.0020929 **
iis793 0.745394 0.322293 2.3128 0.0209819 *
iis796 0.867234 0.322746 2.6870 0.0073550 **
iis801 -1.258902 0.306830 -4.1029 4.488e-05 ***
iis857 -0.935359 0.307434 -3.0425 0.0024214 **
iis865 0.784519 0.307531 2.5510 0.0109217 *
iis875 -1.184085 0.307296 -3.8532 0.0001257 ***
iis925 -1.308447 0.310111 -4.2193 2.725e-05 ***
iis952 1.243470 0.307957 4.0378 5.903e-05 ***
iis967 -1.193904 0.307952 -3.8769 0.0001143 ***
iis968 -1.219300 0.309630 -3.9379 8.919e-05 ***
fesisAlabama.2003 1.046214 0.227155 4.6057 4.765e-06 ***
fesisAlaska.2007 -1.032145 0.176821 -5.8372 7.649e-09 ***
fesisAlaska.2014 0.623618 0.166373 3.7483 0.0001906 ***
fesisArkansas.2005 1.158932 0.202347 5.7275 1.432e-08 ***
fesisArkansas.2017 -1.117440 0.317097 -3.5240 0.0004487 ***
fesisArkansas.2018 1.344180 0.423252 3.1758 0.0015501 **
fesisConnecticut.2009 -0.627591 0.139864 -4.4872 8.252e-06 ***
fesisDelaware.2014 -0.820890 0.148674 -5.5214 4.518e-08 ***
fesisDistrictofColumbia.2008 -0.678901 0.212514 -3.1946 0.0014539 **
fesisDistrictofColumbia.2012 0.988500 0.205615 4.8075 1.818e-06 ***
fesisHawaii.2009 -0.530965 0.160306 -3.3122 0.0009663 ***
fesisIowa.2002 1.973860 0.422758 4.6690 3.536e-06 ***
fesisIowa.2003 -1.055055 0.308370 -3.4214 0.0006539 ***
fesisLouisiana.2011 -0.933907 0.180562 -5.1722 2.911e-07 ***
fesisLouisiana.2015 0.909358 0.211783 4.2938 1.967e-05 ***
fesisMississippi.2010 -0.405868 0.158388 -2.5625 0.0105702 *
fesisNebraska.2002 -1.278045 0.345174 -3.7026 0.0002277 ***
fesisNebraska.2005 0.948237 0.199214 4.7599 2.290e-06 ***
fesisNebraska.2016 0.859569 0.235219 3.6543 0.0002743 ***
fesisNebraska.2018 -1.523392 0.365731 -4.1653 3.439e-05 ***
fesisNevada.2012 -0.570009 0.152561 -3.7363 0.0001998 ***
fesisNevada.2018 0.755559 0.323103 2.3384 0.0196043 *
fesisRhodeIsland.2004 -0.892668 0.188692 -4.7308 2.634e-06 ***
fesisSouthCarolina.2008 0.842460 0.143508 5.8705 6.313e-09 ***
fesisSouthDakota.2008 0.906388 0.173827 5.2143 2.339e-07 ***
fesisSouthDakota.2018 -0.841190 0.243904 -3.4489 0.0005918 ***
fesisWestVirginia.2015 -0.812211 0.157834 -5.1460 3.334e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.3503 1 0.2452
Ljung-Box ARCH(1) 1.8062 1 0.1790
SE of regression 0.29540
R-squared 0.96339
Log-lik.(n=969) -117.81890 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:38:15 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.016258 0.027005 0.6020 0.5473406
lgdp -106.546145 904.950685 -0.1177 0.9063090
lpop 91.339293 751.310506 0.1216 0.9032710
lgdp_sq 3.599979 31.499918 0.1143 0.9090436
avg_temp -0.167731 0.462975 -0.3623 0.7172421
idArizona 2.660693 0.214051 12.4302 < 2.2e-16 ***
idArkansas -0.304341 0.254208 -1.1972 0.2316197
idCalifornia 4.948491 0.237199 20.8622 < 2.2e-16 ***
idColorado 3.000728 0.216410 13.8659 < 2.2e-16 ***
idConnecticut 3.659678 0.234253 15.6228 < 2.2e-16 ***
idDelaware 2.511190 0.217273 11.5578 < 2.2e-16 ***
idDistrictofColumbia 0.972551 0.226852 4.2872 2.057e-05 ***
idFlorida 3.091890 0.217168 14.2373 < 2.2e-16 ***
idGeorgia 2.401195 0.212688 11.2898 < 2.2e-16 ***
idHawaii 1.052215 0.222956 4.7194 2.844e-06 ***
idIdaho 1.100052 0.208522 5.2755 1.755e-07 ***
idIllinois 3.090062 0.217397 14.2139 < 2.2e-16 ***
idIndiana 1.950598 0.210071 9.2854 < 2.2e-16 ***
idIowa 0.064949 0.339529 0.1913 0.8483508
idKansas 0.766017 0.208926 3.6665 0.0002641 ***
idKentucky 0.987453 0.208994 4.7248 2.772e-06 ***
idLouisiana 1.072012 0.218284 4.9111 1.122e-06 ***
idMaine 0.816620 0.220027 3.7114 0.0002220 ***
idMaryland 2.264153 0.211707 10.6948 < 2.2e-16 ***
idMassachusetts 3.784176 0.223806 16.9083 < 2.2e-16 ***
idMichigan 3.352273 0.219528 15.2704 < 2.2e-16 ***
idMinnesota 2.918921 0.215974 13.5151 < 2.2e-16 ***
idMissouri 1.657034 0.209678 7.9028 1.027e-14 ***
idNebraska 0.831298 0.339760 2.4467 0.0146550 *
idNevada 1.839641 0.216540 8.4956 < 2.2e-16 ***
idNewHampshire 1.815362 0.209699 8.6570 < 2.2e-16 ***
idNewJersey 2.976846 0.216642 13.7408 < 2.2e-16 ***
idNewMexico 1.943657 0.210231 9.2453 < 2.2e-16 ***
idNewYork 4.023340 0.226462 17.7661 < 2.2e-16 ***
idNorthCarolina 2.988724 0.216402 13.8110 < 2.2e-16 ***
idOhio 3.350101 0.219666 15.2509 < 2.2e-16 ***
idOklahoma 1.384007 0.208233 6.6464 5.941e-11 ***
idOregon 2.841179 0.286017 9.9336 < 2.2e-16 ***
idPennsylvania 3.418651 0.220119 15.5309 < 2.2e-16 ***
idRhodeIsland 1.772029 0.255072 6.9472 8.367e-12 ***
idSouthCarolina 2.085252 0.226156 9.2204 < 2.2e-16 ***
idSouthDakota -0.312950 0.227872 -1.3734 0.1700698
idTennessee 1.798019 0.209600 8.5784 < 2.2e-16 ***
idTexas 3.536584 0.221274 15.9828 < 2.2e-16 ***
idUtah 1.700957 0.209683 8.1121 2.154e-15 ***
idVermont 0.505637 0.254104 1.9899 0.0469830 *
idVirginia 2.658578 0.214380 12.4012 < 2.2e-16 ***
idWashington 2.874394 0.215696 13.3262 < 2.2e-16 ***
idWisconsin 2.635684 0.213887 12.3228 < 2.2e-16 ***
time2001 2.696846 32.258272 0.0836 0.9333964
time2002 3.066980 33.905884 0.0905 0.9279503
time2003 3.080651 33.958087 0.0907 0.9277410
time2004 4.006139 39.391153 0.1017 0.9190220
time2005 4.296387 39.110906 0.1099 0.9125579
time2006 3.659693 32.035694 0.1142 0.9090811
time2007 3.199731 26.306789 0.1216 0.9032250
time2008 1.945921 16.889320 0.1152 0.9083061
time2009 0.710246 5.752552 0.1235 0.9017725
time2010 0.558244 4.351301 0.1283 0.8979525
time2011 0.781385 4.850353 0.1611 0.8720610
time2012 0.782654 3.913825 0.2000 0.8415594
time2013 0.263082 2.081585 0.1264 0.8994623
time2014 -0.542298 1.164908 -0.4655 0.6416941
time2015 -0.059488 0.605356 -0.0983 0.9217452
iis4 -1.275937 0.290341 -4.3946 1.277e-05 ***
iis10 -1.279155 0.289991 -4.4110 1.187e-05 ***
iis13 -0.924965 0.290541 -3.1836 0.0015174 **
iis17 -1.567708 0.290387 -5.3987 9.131e-08 ***
iis39 1.819928 0.323173 5.6314 2.566e-08 ***
iis44 -1.812961 0.295380 -6.1377 1.384e-09 ***
iis45 -1.494551 0.296121 -5.0471 5.690e-07 ***
iis46 -1.511257 0.295443 -5.1152 4.025e-07 ***
iis53 -1.636909 0.294467 -5.5589 3.830e-08 ***
iis55 -1.151574 0.295010 -3.9035 0.0001037 ***
iis57 -1.739810 0.295659 -5.8845 6.124e-09 ***
iis137 -1.365875 0.302072 -4.5217 7.175e-06 ***
iis141 -0.952046 0.345782 -2.7533 0.0060487 **
iis198 0.644126 0.298749 2.1561 0.0314089 *
iis205 -1.337385 0.298580 -4.4791 8.717e-06 ***
iis206 1.286347 0.300390 4.2823 2.102e-05 ***
iis207 -1.232980 0.300956 -4.0969 4.665e-05 ***
iis208 -1.465738 0.300099 -4.8842 1.281e-06 ***
iis210 -1.270099 0.287713 -4.4145 1.168e-05 ***
iis268 0.962292 0.288799 3.3320 0.0009063 ***
iis287 -0.910913 0.287692 -3.1663 0.0016093 **
iis296 -0.992662 0.287319 -3.4549 0.0005828 ***
iis305 -1.084468 0.288293 -3.7617 0.0001825 ***
iis310 -1.444202 0.287442 -5.0243 6.383e-07 ***
iis324 -1.015266 0.295075 -3.4407 0.0006138 ***
iis342 0.771612 0.312656 2.4679 0.0138218 *
iis346 -1.254843 0.296438 -4.2331 2.604e-05 ***
iis352 -1.239509 0.294605 -4.2074 2.911e-05 ***
iis438 -1.462872 0.287649 -5.0856 4.681e-07 ***
iis463 0.845218 0.342140 2.4704 0.0137280 *
iis464 -0.784031 0.326275 -2.4030 0.0165149 *
iis472 0.768730 0.305915 2.5129 0.0121926 *
iis475 1.567318 0.396964 3.9483 8.647e-05 ***
iis493 -0.803912 0.301884 -2.6630 0.0079185 **
iis629 0.760404 0.342811 2.2181 0.0268574 *
iis668 0.640155 0.322598 1.9844 0.0475944 *
iis684 -0.883859 0.289517 -3.0529 0.0023503 **
iis701 0.575867 0.291925 1.9727 0.0489182 *
iis707 1.724980 0.301837 5.7149 1.609e-08 ***
iis712 1.282322 0.298535 4.2954 1.984e-05 ***
iis713 1.066457 0.299807 3.5571 0.0003995 ***
iis717 0.789404 0.298499 2.6446 0.0083580 **
iis720 0.874482 0.299138 2.9233 0.0035720 **
iis722 -1.415808 0.299281 -4.7307 2.695e-06 ***
iis725 -1.220868 0.287045 -4.2532 2.386e-05 ***
iis781 -0.797500 0.322812 -2.4705 0.0137246 *
iis799 -1.204899 0.287689 -4.1882 3.162e-05 ***
fesisAlabama.2003 1.090263 0.212663 5.1267 3.795e-07 ***
fesisArkansas.2005 1.194308 0.186541 6.4024 2.763e-10 ***
fesisConnecticut.2009 -0.642231 0.131254 -4.8930 1.227e-06 ***
fesisDelaware.2014 -0.850691 0.139514 -6.0975 1.759e-09 ***
fesisDistrictofColumbia.2008 -0.892714 0.230030 -3.8809 0.0001137 ***
fesisDistrictofColumbia.2011 1.031801 0.227467 4.5361 6.716e-06 ***
fesisDistrictofColumbia.2018 0.506850 0.224152 2.2612 0.0240457 *
fesisHawaii.2009 -0.541367 0.150272 -3.6026 0.0003368 ***
fesisIowa.2002 0.947178 0.288269 3.2857 0.0010665 **
fesisLouisiana.2011 -0.939454 0.169286 -5.5495 4.032e-08 ***
fesisLouisiana.2015 0.906333 0.198255 4.5716 5.700e-06 ***
fesisMaine.2010 0.310101 0.136692 2.2686 0.0235878 *
fesisNebraska.2002 -1.275165 0.323089 -3.9468 8.699e-05 ***
fesisNebraska.2005 0.832057 0.255056 3.2623 0.0011576 **
fesisNebraska.2008 -0.562686 0.255407 -2.2031 0.0279046 *
fesisNebraska.2012 0.917764 0.206534 4.4436 1.024e-05 ***
fesisNebraska.2018 -0.848602 0.306516 -2.7685 0.0057760 **
fesisNevada.2012 -0.584696 0.143106 -4.0857 4.889e-05 ***
fesisNevada.2019 0.669255 0.302866 2.2097 0.0274379 *
fesisOregon.2004 -0.526412 0.211259 -2.4918 0.0129349 *
fesisRhodeIsland.2005 -0.597358 0.179598 -3.3261 0.0009256 ***
fesisSouthCarolina.2008 0.808936 0.136779 5.9142 5.159e-09 ***
fesisSouthDakota.2008 0.890880 0.157687 5.6497 2.318e-08 ***
fesisUtah.2019 -1.053868 0.287406 -3.6668 0.0002637 ***
fesisVermont.2005 0.597684 0.190281 3.1411 0.0017525 **
fesisVermont.2013 -0.623302 0.145143 -4.2944 1.993e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.064624 1 0.79933
Ljung-Box ARCH(1) 2.743610 1 0.09764 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.27601
R-squared 0.96046
Log-lik.(n=855) -44.04703 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:38:00 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.074889 0.030922 2.4219 0.0157436 *
lgdp -393.616486 359.902381 -1.0937 0.2745466
lpop 383.948184 350.887050 1.0942 0.2743074
lgdp_sq 9.486102 8.677021 1.0932 0.2747359
avg_temp 0.929909 0.817662 1.1373 0.2558867
idCalifornia 2.108958 0.107500 19.6182 < 2.2e-16 ***
idColorado 0.308313 0.081635 3.7768 0.0001751 ***
idConnecticut 0.886656 0.108793 8.1499 2.213e-15 ***
idDelaware -0.131080 0.090951 -1.4412 0.1500599
idDistrictofColumbia -1.615936 0.132026 -12.2395 < 2.2e-16 ***
idFlorida 0.362881 0.081016 4.4791 9.013e-06 ***
idGeorgia -0.328404 0.081163 -4.0462 5.902e-05 ***
idIdaho -1.509947 0.095315 -15.8416 < 2.2e-16 ***
idIllinois 0.359380 0.081170 4.4275 1.137e-05 ***
idIndiana -0.710139 0.082915 -8.5647 < 2.2e-16 ***
idIowa -1.599133 0.095564 -16.7336 < 2.2e-16 ***
idKentucky -1.607808 0.099567 -16.1481 < 2.2e-16 ***
idMaryland -0.416753 0.080703 -5.1640 3.317e-07 ***
idMassachusetts 1.012140 0.087747 11.5348 < 2.2e-16 ***
idMichigan 0.606753 0.082932 7.3163 8.430e-13 ***
idMinnesota 0.198993 0.080346 2.4767 0.0135413 *
idMissouri -0.986416 0.087301 -11.2990 < 2.2e-16 ***
idNevada -0.900635 0.088848 -10.1368 < 2.2e-16 ***
idNewHampshire -0.834044 0.085907 -9.7087 < 2.2e-16 ***
idNewJersey 0.251770 0.080692 3.1202 0.0018964 **
idNewMexico -0.566178 0.105125 -5.3858 1.046e-07 ***
idNewYork 1.236414 0.091282 13.5450 < 2.2e-16 ***
idNorthCarolina 0.265478 0.080558 3.2955 0.0010419 **
idOhio 0.603662 0.083064 7.2674 1.176e-12 ***
idOklahoma -1.242957 0.089372 -13.9077 < 2.2e-16 ***
idOregon 0.119016 0.184383 0.6455 0.5188684
idPennsylvania 0.669238 0.083510 8.0139 6.037e-15 ***
idRhodeIsland -0.622665 0.155624 -4.0011 7.113e-05 ***
idSouthCarolina 0.013260 0.253803 0.0522 0.9583512
idTennessee -0.846233 0.086465 -9.7870 < 2.2e-16 ***
idTexas 0.779794 0.084730 9.2033 < 2.2e-16 ***
idUtah -1.232015 0.129208 -9.5351 < 2.2e-16 ***
idVirginia -0.043522 0.080980 -0.5374 0.5911677
idWashington 0.156667 0.080226 1.9528 0.0513156 .
idWisconsin -0.066769 0.079853 -0.8361 0.4034156
time2001 56.895339 52.411697 1.0855 0.2781260
time2002 53.740621 49.412850 1.0876 0.2772259
time2003 54.470081 50.083496 1.0876 0.2772253
time2004 52.964067 48.595621 1.0899 0.2762079
time2005 51.209049 46.842748 1.0932 0.2747500
time2006 45.988223 41.926230 1.0969 0.2731425
time2007 41.946528 38.152382 1.0994 0.2720245
time2008 34.724026 31.425478 1.1050 0.2696286
time2009 17.078684 15.126690 1.1290 0.2593416
time2010 15.559260 13.734123 1.1329 0.2577235
time2011 15.152060 13.374629 1.1329 0.2577213
time2012 11.617630 10.272580 1.1309 0.2585447
time2013 9.754904 8.528900 1.1437 0.2531955
time2014 4.124255 3.708705 1.1120 0.2665739
time2015 2.021674 1.725321 1.1718 0.2417669
iis3 -0.821208 0.253272 -3.2424 0.0012526 **
iis40 -0.586998 0.253215 -2.3182 0.0207830 *
iis87 -0.791612 0.256487 -3.0864 0.0021219 **
iis99 -1.409963 0.266268 -5.2953 1.683e-07 ***
iis103 -1.034938 0.306933 -3.3719 0.0007958 ***
iis107 0.876908 0.284486 3.0824 0.0021496 **
iis108 0.865850 0.284556 3.0428 0.0024487 **
iis110 0.931926 0.284702 3.2733 0.0011254 **
iis111 1.076301 0.284625 3.7815 0.0001719 ***
iis113 1.202421 0.284819 4.2217 2.810e-05 ***
iis114 0.879425 0.285356 3.0819 0.0021538 **
iis144 0.730668 0.253273 2.8849 0.0040594 **
iis153 -1.210176 0.253780 -4.7686 2.344e-06 ***
iis210 -0.881488 0.254343 -3.4657 0.0005675 ***
iis211 0.985473 0.255113 3.8629 0.0001245 ***
iis229 -1.064359 0.254256 -4.1862 3.273e-05 ***
iis234 -1.501616 0.253435 -5.9250 5.328e-09 ***
iis324 -1.418074 0.253639 -5.5909 3.466e-08 ***
iis355 -0.830344 0.253960 -3.2696 0.0011402 **
iis356 -0.856806 0.255054 -3.3593 0.0008321 ***
iis360 -1.261341 0.253958 -4.9667 8.945e-07 ***
iis370 -0.734323 0.253430 -2.8975 0.0039017 **
iis496 0.752331 0.302360 2.4882 0.0131158 *
iis538 0.622549 0.255396 2.4376 0.0150823 *
iis551 -0.860205 0.255120 -3.3718 0.0007961 ***
iis568 0.662455 0.258220 2.5655 0.0105513 *
iis569 0.594767 0.259313 2.2936 0.0221653 *
iis573 -1.230702 0.253159 -4.8614 1.499e-06 ***
iis624 -0.963504 0.256298 -3.7593 0.0001875 ***
iis627 -1.235506 0.256527 -4.8163 1.864e-06 ***
iis628 -1.147641 0.253737 -4.5230 7.384e-06 ***
fesisConnecticut.2009 -0.591928 0.116128 -5.0972 4.659e-07 ***
fesisDelaware.2014 -0.845177 0.125102 -6.7559 3.430e-11 ***
fesisDistrictofColumbia.2008 -0.859883 0.203700 -4.2213 2.815e-05 ***
fesisDistrictofColumbia.2011 0.458103 0.229439 1.9966 0.0463284 *
fesisNewHampshire.2019 0.622115 0.253787 2.4513 0.0145240 *
fesisNewMexico.2009 -0.630180 0.167298 -3.7668 0.0001820 ***
fesisNewMexico.2012 0.502848 0.166800 3.0147 0.0026839 **
fesisOregon.2004 -0.491172 0.186803 -2.6294 0.0087793 **
fesisRhodeIsland.2004 -0.836328 0.157797 -5.3000 1.642e-07 ***
fesisSouthCarolina.2002 -0.710154 0.266494 -2.6648 0.0079156 **
fesisSouthCarolina.2008 0.823575 0.129075 6.3806 3.585e-10 ***
fesisUtah.2006 0.469693 0.131618 3.5686 0.0003883 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.66136 1 0.4161
Ljung-Box ARCH(1) 2.46273 1 0.1166
SE of regression 0.24267
R-squared 0.95606
Log-lik.(n=684) 47.02062 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:25:18 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.1807e-02 3.0254e-02 1.7124 0.0871834 .
lgdp -4.3377e+02 9.0280e+02 -0.4805 0.6310174
lpop 3.6197e+02 7.4956e+02 0.4829 0.6292819
lgdp_sq 1.5030e+01 3.1423e+01 0.4783 0.6325625
avg_temp -2.8471e-01 4.6183e-01 -0.6165 0.5377395
idAlaska -5.2549e-01 1.4541e-01 -3.6139 0.0003190 ***
idArizona 1.6322e+00 1.1235e-01 14.5274 < 2.2e-16 ***
idArkansas -3.0094e-01 1.0467e-01 -2.8751 0.0041375 **
idCalifornia 3.7925e+00 1.5648e-01 24.2362 < 2.2e-16 ***
idColorado 1.9471e+00 1.1714e-01 16.6217 < 2.2e-16 ***
idConnecticut 2.5397e+00 1.5305e-01 16.5943 < 2.2e-16 ***
idDelaware 1.4882e+00 1.2042e-01 12.3582 < 2.2e-16 ***
idDistrictofColumbia 2.1996e-01 1.4432e-01 1.5241 0.1278392
idFlorida 2.0303e+00 1.1864e-01 17.1128 < 2.2e-16 ***
idGeorgia 1.3946e+00 1.0959e-01 12.7256 < 2.2e-16 ***
idHawaii 3.3079e-01 1.2983e-01 2.5479 0.0110100 *
idIdaho 2.3856e-01 9.9729e-02 2.3920 0.0169673 *
idIllinois 2.0270e+00 1.1907e-01 17.0237 < 2.2e-16 ***
idIndiana 9.9266e-01 1.0433e-01 9.5145 < 2.2e-16 ***
idIowa 2.2099e-01 9.9716e-02 2.2162 0.0269349 *
idKansas -4.3210e-02 9.9396e-02 -0.4347 0.6638724
idKentucky 1.6035e-01 1.0089e-01 1.5894 0.1123355
idLouisiana 9.8070e-02 9.9441e-02 0.9862 0.3243039
idMaine 9.9886e-02 9.9432e-02 1.0046 0.3153844
idMaryland 1.2702e+00 1.0759e-01 11.8057 < 2.2e-16 ***
idMassachusetts 2.6799e+00 1.3168e-01 20.3514 < 2.2e-16 ***
idMichigan 2.2734e+00 1.2334e-01 18.4324 < 2.2e-16 ***
idMinnesota 1.8677e+00 1.1621e-01 16.0712 < 2.2e-16 ***
idMississippi -9.0524e-01 1.0699e-01 -8.4607 < 2.2e-16 ***
idMissouri 7.3709e-01 1.0340e-01 7.1288 2.132e-12 ***
idMontana -4.5581e-01 1.0022e-01 -4.5479 6.190e-06 ***
idNebraska -4.3904e-01 1.1782e-01 -3.7264 0.0002068 ***
idNevada 6.8320e-01 1.0208e-01 6.6926 3.932e-11 ***
idNewHampshire 8.7528e-01 1.0358e-01 8.4504 < 2.2e-16 ***
idNewJersey 1.9212e+00 1.1756e-01 16.3427 < 2.2e-16 ***
idNewMexico 9.8668e-01 1.0464e-01 9.4295 < 2.2e-16 ***
idNewYork 2.9062e+00 1.3675e-01 21.2513 < 2.2e-16 ***
idNorthCarolina 1.9339e+00 1.1708e-01 16.5171 < 2.2e-16 ***
idNorthDakota -5.7897e-01 1.0285e-01 -5.6295 2.440e-08 ***
idOhio 2.2698e+00 1.2358e-01 18.3666 < 2.2e-16 ***
idOklahoma 5.1402e-01 1.0077e-01 5.1007 4.157e-07 ***
idOregon 1.3626e+00 1.1117e-01 12.2569 < 2.2e-16 ***
idPennsylvania 2.3358e+00 1.2450e-01 18.7611 < 2.2e-16 ***
idRhodeIsland 1.1038e+00 1.9397e-01 5.6908 1.730e-08 ***
idSouthCarolina 1.1064e+00 1.4098e-01 7.8480 1.244e-14 ***
idSouthDakota -5.4711e-01 1.3719e-01 -3.9880 7.226e-05 ***
idTennessee 8.7088e-01 1.0385e-01 8.3858 < 2.2e-16 ***
idTexas 2.4466e+00 1.2677e-01 19.3001 < 2.2e-16 ***
idUtah 7.4114e-01 1.0267e-01 7.2186 1.148e-12 ***
idVermont -8.1227e-03 9.9400e-02 -0.0817 0.9348908
idVirginia 1.6299e+00 1.1281e-01 14.4489 < 2.2e-16 ***
idWashington 1.8272e+00 1.1567e-01 15.7975 < 2.2e-16 ***
idWestVirginia -5.7655e-01 1.0066e-01 -5.7276 1.404e-08 ***
idWisconsin 1.6092e+00 1.1203e-01 14.3635 < 2.2e-16 ***
idWyoming -3.2796e-01 1.0612e-01 -3.0904 0.0020628 **
time2001 1.4627e+01 3.2174e+01 0.4546 0.6495042
time2002 1.5532e+01 3.3819e+01 0.4593 0.6461638
time2003 1.5674e+01 3.3872e+01 0.4627 0.6436752
time2004 1.8437e+01 3.9295e+01 0.4692 0.6390383
time2005 1.8567e+01 3.9017e+01 0.4759 0.6342838
time2006 1.5381e+01 3.1959e+01 0.4813 0.6304370
time2007 1.2789e+01 2.6243e+01 0.4873 0.6261417
time2008 8.1857e+00 1.6847e+01 0.4859 0.6271822
time2009 2.9788e+00 5.7354e+00 0.5194 0.6036308
time2010 2.2716e+00 4.3383e+00 0.5236 0.6006880
time2011 2.5880e+00 4.8366e+00 0.5351 0.5927239
time2012 2.2044e+00 3.9027e+00 0.5648 0.5723328
time2013 1.0829e+00 2.0755e+00 0.5218 0.6019727
time2014 -7.4985e-01 1.1635e+00 -0.6445 0.5194328
time2015 -2.5003e-01 6.0548e-01 -0.4129 0.6797464
iis58 1.0483e+00 3.1925e-01 3.2836 0.0010661 **
iis63 -1.0420e+00 3.1983e-01 -3.2581 0.0011654 **
iis76 -9.1240e-01 3.1980e-01 -2.8530 0.0044339 **
iis156 -1.0126e+00 3.3433e-01 -3.0287 0.0025286 **
iis224 -9.3141e-01 3.3081e-01 -2.8156 0.0049795 **
iis225 1.1429e+00 3.3189e-01 3.4438 0.0006012 ***
iis226 -8.6232e-01 3.3254e-01 -2.5931 0.0096722 **
iis227 -1.0182e+00 3.3163e-01 -3.0703 0.0022049 **
iis329 -1.0978e+00 3.1801e-01 -3.4521 0.0005832 ***
iis457 1.1000e+00 3.1938e-01 3.4442 0.0006003 ***
iis458 1.6060e+00 3.2063e-01 5.0090 6.630e-07 ***
iis459 1.3698e+00 3.2225e-01 4.2508 2.361e-05 ***
iis476 -1.0112e+00 3.1816e-01 -3.1784 0.0015335 **
iis521 -8.8426e-01 3.2466e-01 -2.7236 0.0065868 **
iis653 -9.0592e-01 3.1905e-01 -2.8395 0.0046244 **
iis705 1.2075e+00 3.1809e-01 3.7962 0.0001572 ***
iis798 -1.3440e+00 3.2346e-01 -4.1551 3.573e-05 ***
iis801 -9.8570e-01 3.1802e-01 -3.0995 0.0020013 **
iis875 -1.0001e+00 3.1828e-01 -3.1421 0.0017342 **
iis952 1.0071e+00 3.1976e-01 3.1495 0.0016914 **
fesisAlaska.2007 -9.8105e-01 1.7397e-01 -5.6393 2.310e-08 ***
fesisAlaska.2014 5.5286e-01 1.7245e-01 3.2060 0.0013952 **
fesisConnecticut.2009 -5.6784e-01 1.4482e-01 -3.9209 9.518e-05 ***
fesisDelaware.2014 -7.4059e-01 1.5403e-01 -4.8081 1.796e-06 ***
fesisDistrictofColumbia.2008 -1.0174e+00 2.1925e-01 -4.6405 4.013e-06 ***
fesisDistrictofColumbia.2011 1.1970e+00 2.0746e-01 5.7699 1.104e-08 ***
fesisHawaii.2009 -5.3890e-01 1.6080e-01 -3.3514 0.0008389 ***
fesisNebraska.2013 5.7424e-01 1.5098e-01 3.8034 0.0001527 ***
fesisRhodeIsland.2004 -7.9490e-01 1.9541e-01 -4.0679 5.177e-05 ***
fesisSouthCarolina.2008 7.9803e-01 1.4907e-01 5.3533 1.107e-07 ***
fesisSouthDakota.2008 7.0736e-01 1.5129e-01 4.6755 3.400e-06 ***
fesisWyoming.2017 -6.9241e-01 1.9716e-01 -3.5119 0.0004679 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.0428 1 0.3072
Ljung-Box ARCH(1) 1.1616 1 0.2811
SE of regression 0.30636
R-squared 0.94561
Log-lik.(n=969) -177.62425 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:28:43 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.022170 0.030953 0.7163 0.4740567
lgdp -88.530513 888.486112 -0.0996 0.9206550
lpop 75.802073 737.661699 0.1028 0.9181808
lgdp_sq 2.985912 30.925567 0.0966 0.9231081
avg_temp -0.106648 0.454399 -0.2347 0.8145041
idArizona 1.634030 0.107043 15.2652 < 2.2e-16 ***
idArkansas -0.470706 0.156714 -3.0036 0.0027561 **
idCalifornia 3.861375 0.154740 24.9540 < 2.2e-16 ***
idColorado 1.958290 0.112328 17.4337 < 2.2e-16 ***
idConnecticut 2.591917 0.146616 17.6783 < 2.2e-16 ***
idDelaware 1.493819 0.113859 13.1199 < 2.2e-16 ***
idDistrictofColumbia 0.192929 0.133234 1.4480 0.1480180
idFlorida 2.044288 0.113980 17.9355 < 2.2e-16 ***
idGeorgia 1.390328 0.103971 13.3723 < 2.2e-16 ***
idHawaii 0.308637 0.120113 2.5696 0.0103735 *
idIdaho 0.197027 0.092794 2.1233 0.0340543 *
idIllinois 2.041668 0.114444 17.8399 < 2.2e-16 ***
idIndiana 0.974207 0.098068 9.9340 < 2.2e-16 ***
idIowa 0.130152 0.094139 1.3825 0.1672127
idKansas -0.092383 0.092377 -1.0001 0.3175953
idKentucky 0.112023 0.093778 1.1945 0.2326379
idLouisiana 0.160462 0.111537 1.4386 0.1506656
idMaine 0.156057 0.095099 1.6410 0.1012123
idMaryland 1.261065 0.101738 12.3952 < 2.2e-16 ***
idMassachusetts 2.714967 0.128175 21.1817 < 2.2e-16 ***
idMichigan 2.295480 0.119118 19.2706 < 2.2e-16 ***
idMinnesota 1.877134 0.111305 16.8648 < 2.2e-16 ***
idMissouri 0.708077 0.096661 7.3254 6.120e-13 ***
idNebraska -0.426447 0.116478 -3.6612 0.0002685 ***
idNevada 0.934751 0.120017 7.7885 2.238e-14 ***
idNewHampshire 0.854308 0.097215 8.7878 < 2.2e-16 ***
idNewJersey 1.933213 0.112787 17.1403 < 2.2e-16 ***
idNewMexico 0.969202 0.098414 9.8482 < 2.2e-16 ***
idNewYork 2.948661 0.133648 22.0630 < 2.2e-16 ***
idNorthCarolina 1.944999 0.112266 17.3250 < 2.2e-16 ***
idOhio 2.292182 0.119381 19.2006 < 2.2e-16 ***
idOklahoma 0.480769 0.094012 5.1139 4.002e-07 ***
idOregon 2.080390 0.187800 11.0777 < 2.2e-16 ***
idPennsylvania 2.359737 0.120385 19.6015 < 2.2e-16 ***
idRhodeIsland 1.111517 0.179326 6.1983 9.379e-10 ***
idSouthCarolina 1.116264 0.131616 8.4812 < 2.2e-16 ***
idSouthDakota -0.778929 0.134179 -5.8051 9.464e-09 ***
idTennessee 0.842978 0.097200 8.6726 < 2.2e-16 ***
idTexas 2.474170 0.122849 20.1399 < 2.2e-16 ***
idUtah 0.716835 0.096186 7.4526 2.507e-13 ***
idVermont -0.056707 0.092384 -0.6138 0.5395229
idVirginia 1.627982 0.107214 15.1844 < 2.2e-16 ***
idWashington 1.835673 0.110703 16.5819 < 2.2e-16 ***
idWisconsin 1.610300 0.106685 15.0940 < 2.2e-16 ***
time2001 2.137520 31.666050 0.0675 0.9462000
time2002 2.465044 33.284251 0.0741 0.9409819
time2003 2.555735 33.336357 0.0767 0.9389102
time2004 3.313569 38.672488 0.0857 0.9317412
time2005 3.619830 38.398300 0.0943 0.9249192
time2006 3.065918 31.452064 0.0975 0.9223718
time2007 2.705210 25.827457 0.1047 0.9166086
time2008 1.694616 16.580864 0.1022 0.9186225
time2009 0.701349 5.645484 0.1242 0.9011647
time2010 0.597343 4.270415 0.1399 0.8887925
time2011 0.716020 4.760589 0.1504 0.8804846
time2012 0.691139 3.841403 0.1799 0.8572649
time2013 0.305431 2.043077 0.1495 0.8812024
time2014 -0.332679 1.144130 -0.2908 0.7713064
time2015 -0.060963 0.595369 -0.1024 0.9184707
iis17 -0.940652 0.291991 -3.2215 0.0013298 **
iis39 1.189689 0.317654 3.7452 0.0001939 ***
iis57 -1.081232 0.298419 -3.6232 0.0003104 ***
iis137 -1.000393 0.307015 -3.2585 0.0011703 **
iis205 -0.918223 0.303581 -3.0246 0.0025736 **
iis206 1.102803 0.304787 3.6183 0.0003163 ***
iis207 -0.857725 0.305630 -2.8064 0.0051384 **
iis208 -1.040483 0.304515 -3.4169 0.0006674 ***
iis268 0.933889 0.292416 3.1937 0.0014628 **
iis310 -1.042060 0.291816 -3.5709 0.0003782 ***
iis346 -1.000987 0.292495 -3.4222 0.0006545 ***
iis352 -0.957126 0.292493 -3.2723 0.0011152 **
iis438 -0.972837 0.291981 -3.3318 0.0009047 ***
iis464 -0.922388 0.301000 -3.0644 0.0022585 **
iis466 -0.822975 0.299484 -2.7480 0.0061393 **
iis707 1.327452 0.306863 4.3259 1.723e-05 ***
iis725 -0.932055 0.291834 -3.1938 0.0014624 **
iis799 -0.969088 0.292056 -3.3182 0.0009495 ***
fesisArkansas.2006 -0.690265 0.217151 -3.1787 0.0015394 **
fesisArkansas.2009 0.978171 0.187464 5.2179 2.339e-07 ***
fesisConnecticut.2009 -0.621397 0.133388 -4.6586 3.762e-06 ***
fesisDelaware.2014 -0.785168 0.141809 -5.5368 4.252e-08 ***
fesisDistrictofColumbia.2008 -1.048430 0.201378 -5.2063 2.485e-07 ***
fesisDistrictofColumbia.2011 1.194753 0.190637 6.2671 6.174e-10 ***
fesisHawaii.2009 -0.586682 0.147913 -3.9664 7.990e-05 ***
fesisLouisiana.2011 -0.717943 0.169556 -4.2343 2.575e-05 ***
fesisLouisiana.2015 0.878261 0.191302 4.5910 5.166e-06 ***
fesisNebraska.2012 0.440505 0.139201 3.1645 0.0016156 **
fesisNevada.2010 -0.528706 0.132032 -4.0044 6.831e-05 ***
fesisOregon.2004 -0.781059 0.179810 -4.3438 1.591e-05 ***
fesisRhodeIsland.2004 -0.843731 0.179614 -4.6975 3.129e-06 ***
fesisSouthCarolina.2008 0.782568 0.137075 5.7091 1.632e-08 ***
fesisSouthDakota.2008 1.307049 0.201962 6.4718 1.741e-10 ***
fesisSouthDakota.2011 -0.587149 0.192389 -3.0519 0.0023537 **
fesisSouthDakota.2019 -1.192348 0.301473 -3.9551 8.370e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.33461 1 0.5630
Ljung-Box ARCH(1) 1.24810 1 0.2639
SE of regression 0.28075
R-squared 0.94608
Log-lik.(n=855) -77.58902 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:28:15 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.081340 0.035478 2.2927 0.0222042 *
lgdp -447.390219 357.310383 -1.2521 0.2110106
lpop 435.874080 348.363959 1.2512 0.2113392
lgdp_sq 10.803967 8.614423 1.2542 0.2102591
avg_temp 1.058820 0.811459 1.3048 0.1924403
idCalifornia 2.054413 0.114625 17.9229 < 2.2e-16 ***
idColorado 0.266464 0.082171 3.2428 0.0012482 **
idConnecticut 0.848909 0.111483 7.6147 1.009e-13 ***
idDelaware -0.175636 0.090387 -1.9431 0.0524582 .
idDistrictofColumbia -1.384828 0.132535 -10.4488 < 2.2e-16 ***
idFlorida 0.346992 0.082704 4.1956 3.125e-05 ***
idGeorgia -0.270544 0.081614 -3.3149 0.0009709 ***
idIdaho -1.389499 0.096208 -14.4426 < 2.2e-16 ***
idIllinois 0.342865 0.082872 4.1373 4.008e-05 ***
idIndiana -0.658398 0.084730 -7.7705 3.322e-14 ***
idIowa -1.454056 0.096728 -15.0324 < 2.2e-16 ***
idKentucky -1.463695 0.099604 -14.6951 < 2.2e-16 ***
idMaryland -0.390093 0.082305 -4.7396 2.667e-06 ***
idMassachusetts 0.975452 0.090781 10.7452 < 2.2e-16 ***
idMichigan 0.582059 0.084993 6.8483 1.825e-11 ***
idMinnesota 0.188779 0.081900 2.3050 0.0215011 *
idMissouri -0.908231 0.089209 -10.1810 < 2.2e-16 ***
idNevada -0.758430 0.098221 -7.7216 4.716e-14 ***
idNewHampshire -0.773265 0.085626 -9.0308 < 2.2e-16 ***
idNewJersey 0.239849 0.082308 2.9140 0.0036984 **
idNewMexico -0.665346 0.084411 -7.8822 1.482e-14 ***
idNewYork 1.194376 0.095047 12.5662 < 2.2e-16 ***
idNorthCarolina 0.253382 0.082154 3.0842 0.0021328 **
idOhio 0.577968 0.085132 6.7891 2.678e-11 ***
idOklahoma -1.122293 0.091297 -12.2928 < 2.2e-16 ***
idOregon 0.369153 0.156521 2.3585 0.0186637 *
idPennsylvania 0.642510 0.085684 7.4986 2.280e-13 ***
idRhodeIsland -0.536668 0.158366 -3.3888 0.0007472 ***
idSouthCarolina -0.538131 0.112359 -4.7894 2.102e-06 ***
idTennessee -0.776126 0.088216 -8.7980 < 2.2e-16 ***
idTexas 0.749702 0.087148 8.6026 < 2.2e-16 ***
idUtah -0.857730 0.088071 -9.7391 < 2.2e-16 ***
idVirginia -0.042333 0.082471 -0.5133 0.6079209
idWashington 0.149391 0.081763 1.8271 0.0681687 .
idWisconsin -0.061383 0.081329 -0.7548 0.4506884
time2001 64.745714 52.034503 1.2443 0.2138721
time2002 61.173257 49.057242 1.2470 0.2128837
time2003 61.974140 49.723308 1.2464 0.2131025
time2004 60.249785 48.245674 1.2488 0.2122120
time2005 58.191049 46.505691 1.2513 0.2113159
time2006 52.239637 41.624553 1.2550 0.2099514
time2007 47.602037 37.877995 1.2567 0.2093352
time2008 39.393635 31.199127 1.2627 0.2071960
time2009 19.302516 15.017601 1.2853 0.1991653
time2010 17.601775 13.634790 1.2909 0.1972107
time2011 17.141187 13.278143 1.2909 0.1972153
time2012 13.156496 10.198605 1.2900 0.1975286
time2013 11.027991 8.466880 1.3025 0.1932411
time2014 4.666085 3.682181 1.2672 0.2055641
time2015 2.303684 1.712806 1.3450 0.1791318
iis3 -0.741274 0.257917 -2.8741 0.0041929 **
iis99 -1.045690 0.271054 -3.8579 0.0001265 ***
iis103 -0.917499 0.293605 -3.1249 0.0018627 **
iis211 0.895940 0.258364 3.4677 0.0005617 ***
iis234 -1.100727 0.257593 -4.2731 2.235e-05 ***
iis324 -0.958357 0.257759 -3.7180 0.0002192 ***
iis360 -0.755375 0.268353 -2.8149 0.0050372 **
iis573 -0.936896 0.257777 -3.6345 0.0003020 ***
iis627 -0.880522 0.257600 -3.4182 0.0006723 ***
iis628 -0.939775 0.257876 -3.6443 0.0002909 ***
fesisConnecticut.2009 -0.567375 0.118338 -4.7945 2.050e-06 ***
fesisDelaware.2014 -0.731702 0.125996 -5.8074 1.021e-08 ***
fesisDistrictofColumbia.2008 -0.603009 0.179617 -3.3572 0.0008363 ***
fesisDistrictofColumbia.2012 0.801562 0.174936 4.5820 5.584e-06 ***
fesisNevada.2012 -0.383389 0.123513 -3.1040 0.0019973 **
fesisOregon.2004 -0.723104 0.159274 -4.5400 6.778e-06 ***
fesisRhodeIsland.2004 -0.789741 0.158988 -4.9673 8.824e-07 ***
fesisSouthCarolina.2008 0.758449 0.122000 6.2168 9.404e-10 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.11873 1 0.7304
Ljung-Box ARCH(1) 1.33436 1 0.2480
SE of regression 0.24716
R-squared 0.94406
Log-lik.(n=684) 21.98927 0.05
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:25:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.029287 0.027198 1.0768 0.2818823
lgdp -615.707850 773.826876 -0.7957 0.4264558
lpop 514.275518 642.459284 0.8005 0.4236643
lgdp_sq 21.329141 26.935195 0.7919 0.4286656
avg_temp -0.459922 0.396220 -1.1608 0.2460712
idAlaska -0.880704 0.135955 -6.4779 1.600e-10 ***
idArizona 1.470651 0.103995 14.1415 < 2.2e-16 ***
idArkansas -0.936050 0.165748 -5.6474 2.244e-08 ***
idCalifornia 3.641995 0.143067 25.4566 < 2.2e-16 ***
idColorado 1.752759 0.107608 16.2884 < 2.2e-16 ***
idConnecticut 2.367915 0.137438 17.2289 < 2.2e-16 ***
idDelaware 1.287376 0.109393 11.7684 < 2.2e-16 ***
idDistrictofColumbia -0.008167 0.126591 -0.0645 0.9485760
idFlorida 1.838099 0.108972 16.8676 < 2.2e-16 ***
idGeorgia 1.151338 0.101923 11.2962 < 2.2e-16 ***
idHawaii 0.102488 0.115131 0.8902 0.3736257
idIdaho -0.771916 0.269573 -2.8635 0.0042969 **
idIllinois 1.835297 0.109355 16.7829 < 2.2e-16 ***
idIndiana 0.775799 0.095861 8.0930 2.088e-15 ***
idIowa -0.587998 0.269547 -2.1814 0.0294341 *
idKansas -0.241683 0.092077 -2.6248 0.0088312 **
idKentucky -0.078160 0.092224 -0.8475 0.3969634
idLouisiana -0.038049 0.107691 -0.3533 0.7239403
idMaine -0.035221 0.093227 -0.3778 0.7056814
idMaryland 1.060425 0.098887 10.7236 < 2.2e-16 ***
idMassachusetts 2.503699 0.120754 20.7339 < 2.2e-16 ***
idMichigan 2.087351 0.113224 18.4355 < 2.2e-16 ***
idMinnesota 1.672020 0.106763 15.6610 < 2.2e-16 ***
idMississippi -0.932740 0.127035 -7.3424 5.052e-13 ***
idMissouri 0.514011 0.094752 5.4248 7.635e-08 ***
idMontana -0.746398 0.092577 -8.0624 2.634e-15 ***
idNebraska -0.696461 0.127125 -5.4786 5.703e-08 ***
idNevada 0.676222 0.108436 6.2361 7.167e-10 ***
idNewHampshire 0.656505 0.095155 6.8993 1.043e-11 ***
idNewJersey 1.727496 0.107987 15.9972 < 2.2e-16 ***
idNewMexico 0.770560 0.096146 8.0144 3.787e-15 ***
idNewYork 2.735617 0.125324 21.8283 < 2.2e-16 ***
idNorthCarolina 1.739493 0.107557 16.1728 < 2.2e-16 ***
idNorthDakota -0.838130 0.095973 -8.7330 < 2.2e-16 ***
idOhio 2.083958 0.113442 18.3703 < 2.2e-16 ***
idOklahoma 0.285915 0.092471 3.0919 0.0020557 **
idOregon 1.591041 0.206420 7.7078 3.691e-14 ***
idPennsylvania 2.151150 0.114275 18.8243 < 2.2e-16 ***
idRhodeIsland 0.886442 0.167896 5.2797 1.657e-07 ***
idSouthCarolina 0.903598 0.125166 7.2192 1.191e-12 ***
idSouthDakota -0.877243 0.135901 -6.4550 1.848e-10 ***
idTennessee 0.648253 0.095182 6.8107 1.876e-11 ***
idTexas 2.264713 0.116321 19.4696 < 2.2e-16 ***
idUtah 0.519834 0.094300 5.5126 4.735e-08 ***
idVermont -0.247376 0.093191 -2.6545 0.0080959 **
idVirginia 1.427420 0.103485 13.7935 < 2.2e-16 ***
idWashington 1.630809 0.106268 15.3462 < 2.2e-16 ***
idWestVirginia -0.631403 0.102114 -6.1833 9.881e-10 ***
idWisconsin 1.407191 0.102957 13.6678 < 2.2e-16 ***
idWyoming -0.572218 0.096053 -5.9573 3.799e-09 ***
time2001 20.852287 27.581646 0.7560 0.4498536
time2002 22.154193 28.990865 0.7642 0.4449802
time2003 22.232799 29.035572 0.7657 0.4440693
time2004 26.205475 33.682377 0.7780 0.4367826
time2005 26.282899 33.443100 0.7859 0.4321531
time2006 21.743695 27.393425 0.7938 0.4275666
time2007 18.015330 22.494722 0.8009 0.4234388
time2008 11.406657 14.441050 0.7899 0.4298272
time2009 3.862003 4.917389 0.7854 0.4324591
time2010 2.925999 3.719376 0.7867 0.4316897
time2011 3.454080 4.146638 0.8330 0.4050962
time2012 2.968207 3.346317 0.8870 0.3753345
time2013 1.338762 1.779104 0.7525 0.4519706
time2014 -1.239976 0.997406 -1.2432 0.2141483
time2015 -0.396704 0.518126 -0.7657 0.4441032
iis2 -0.851018 0.269915 -3.1529 0.0016752 **
iis4 -0.863293 0.269875 -3.1989 0.0014326 **
iis10 -1.018766 0.269796 -3.7761 0.0001708 ***
iis13 -0.740921 0.270069 -2.7435 0.0062121 **
iis17 -1.094697 0.269889 -4.0561 5.465e-05 ***
iis22 0.659335 0.285550 2.3090 0.0211906 *
iis41 -0.757966 0.267956 -2.8287 0.0047875 **
iis58 1.426509 0.301099 4.7377 2.546e-06 ***
iis63 -1.335911 0.273977 -4.8760 1.300e-06 ***
iis64 -1.032690 0.274537 -3.7616 0.0001808 ***
iis65 -1.068496 0.273861 -3.9016 0.0001034 ***
iis72 -1.137944 0.273192 -4.1654 3.437e-05 ***
iis76 -1.189331 0.273815 -4.3436 1.577e-05 ***
iis156 -1.022307 0.281549 -3.6310 0.0002998 ***
iis160 -0.856117 0.303131 -2.8242 0.0048539 **
iis201 0.706462 0.267900 2.6370 0.0085213 **
iis224 -0.965949 0.278466 -3.4688 0.0005499 ***
iis225 1.125284 0.279465 4.0266 6.183e-05 ***
iis226 -0.841719 0.280242 -3.0035 0.0027494 **
iis227 -1.082221 0.279286 -3.8750 0.0001151 ***
iis315 -0.792866 0.267757 -2.9611 0.0031532 **
iis329 -1.075400 0.267737 -4.0166 6.445e-05 ***
iis361 0.686437 0.291319 2.3563 0.0186914 *
iis365 -1.029083 0.268287 -3.8358 0.0001348 ***
iis371 -0.934751 0.268368 -3.4831 0.0005218 ***
iis457 0.871723 0.281602 3.0956 0.0020309 **
iis458 1.393032 0.282216 4.9360 9.654e-07 ***
iis459 1.186115 0.283366 4.1858 3.148e-05 ***
iis469 -0.577781 0.274556 -2.1044 0.0356447 *
iis476 -1.016358 0.267921 -3.7935 0.0001594 ***
iis505 0.770580 0.267752 2.8780 0.0041063 **
iis521 -1.062244 0.282781 -3.7564 0.0001845 ***
iis523 -0.911247 0.281495 -3.2372 0.0012556 **
iis532 1.280018 0.369507 3.4641 0.0005595 ***
iis550 -1.282886 0.369319 -3.4737 0.0005403 ***
iis652 0.802068 0.268761 2.9843 0.0029263 **
iis653 -0.859447 0.269589 -3.1880 0.0014868 **
iis657 -0.762493 0.268623 -2.8385 0.0046440 **
iis705 0.770066 0.319731 2.4085 0.0162382 *
iis783 1.208441 0.285443 4.2336 2.560e-05 ***
iis785 -0.593956 0.285449 -2.0808 0.0377634 *
iis788 1.073807 0.281297 3.8173 0.0001450 ***
iis789 0.845943 0.282608 2.9933 0.0028420 **
iis793 0.604880 0.281273 2.1505 0.0318063 *
iis796 1.362372 0.319352 4.2661 2.221e-05 ***
iis801 -0.971761 0.267795 -3.6287 0.0003024 ***
iis857 -0.623883 0.268318 -2.3252 0.0203058 *
iis865 0.614336 0.268440 2.2885 0.0223590 *
iis875 -1.010825 0.268011 -3.7716 0.0001738 ***
iis952 1.003853 0.269306 3.7276 0.0002066 ***
fesisAlaska.2007 -0.897175 0.154530 -5.8058 9.146e-09 ***
fesisAlaska.2014 0.550156 0.145231 3.7881 0.0001628 ***
fesisArkansas.2005 0.719853 0.171743 4.1914 3.072e-05 ***
fesisConnecticut.2009 -0.593629 0.122259 -4.8555 1.437e-06 ***
fesisDelaware.2014 -0.767328 0.129999 -5.9026 5.231e-09 ***
fesisDistrictofColumbia.2008 -0.630604 0.185662 -3.3965 0.0007153 ***
fesisDistrictofColumbia.2012 0.849793 0.179353 4.7381 2.541e-06 ***
fesisHawaii.2009 -0.554691 0.135625 -4.0899 4.741e-05 ***
fesisIdaho.2002 0.819193 0.267948 3.0573 0.0023059 **
fesisIowa.2002 1.460452 0.368814 3.9599 8.149e-05 ***
fesisIowa.2003 -0.904301 0.268857 -3.3635 0.0008052 ***
fesisLouisiana.2011 -0.707905 0.155423 -4.5547 6.041e-06 ***
fesisLouisiana.2015 0.748953 0.184845 4.0518 5.565e-05 ***
fesisMississippi.2010 -0.313213 0.138260 -2.2654 0.0237479 *
fesisNebraska.2007 0.828673 0.281424 2.9446 0.0033252 **
fesisNebraska.2008 -0.632340 0.281570 -2.2458 0.0249842 *
fesisNebraska.2016 0.800496 0.214232 3.7366 0.0001994 ***
fesisNebraska.2018 -1.184918 0.319063 -3.7137 0.0002180 ***
fesisNevada.2012 -0.510186 0.133291 -3.8276 0.0001392 ***
fesisNevada.2018 0.628656 0.281971 2.2295 0.0260494 *
fesisOregon.2004 -0.487957 0.196801 -2.4794 0.0133584 *
fesisRhodeIsland.2004 -0.807795 0.164745 -4.9033 1.136e-06 ***
fesisSouthCarolina.2008 0.798092 0.125650 6.3517 3.522e-10 ***
fesisSouthDakota.2008 0.511019 0.158746 3.2191 0.0013364 **
fesisSouthDakota.2017 -0.613643 0.212848 -2.8830 0.0040418 **
fesisWestVirginia.2013 -0.535934 0.124679 -4.2985 1.926e-05 ***
fesisWyoming.2017 -0.712789 0.166265 -4.2871 2.025e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.23862 1 0.6252
Ljung-Box ARCH(1) 0.19367 1 0.6599
SE of regression 0.25779
R-squared 0.96349
Log-lik.(n=969) 12.11661 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:28:44 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.051005 0.028656 1.7799 0.0755160 .
lgdp -668.981348 804.851180 -0.8312 0.4061428
lpop 557.593614 668.209720 0.8345 0.4042980
lgdp_sq 23.207364 28.015593 0.8284 0.4077326
avg_temp -0.424814 0.412404 -1.0301 0.3033108
idArizona 1.561549 0.121750 12.8259 < 2.2e-16 ***
idArkansas -0.542682 0.157331 -3.4493 0.0005946 ***
idCalifornia 3.683752 0.158993 23.1693 < 2.2e-16 ***
idColorado 1.836775 0.125104 14.6819 < 2.2e-16 ***
idConnecticut 2.436440 0.150523 16.1865 < 2.2e-16 ***
idDelaware 1.382369 0.125531 11.0122 < 2.2e-16 ***
idDistrictofColumbia 0.117829 0.138712 0.8494 0.3959137
idFlorida 1.920108 0.126364 15.1951 < 2.2e-16 ***
idGeorgia 1.244451 0.119748 10.3923 < 2.2e-16 ***
idHawaii 0.225491 0.129113 1.7465 0.0811545 .
idIdaho -0.644606 0.268466 -2.4011 0.0165987 *
idIllinois 1.916753 0.126718 15.1261 < 2.2e-16 ***
idIndiana 0.881552 0.114547 7.6960 4.614e-14 ***
idIowa -0.459505 0.268440 -1.7118 0.0873694 .
idKansas -0.115393 0.111400 -1.0358 0.3006228
idKentucky 0.082873 0.112595 0.7360 0.4619533
idLouisiana 0.082421 0.123048 0.6698 0.5031808
idMaine 0.091340 0.112313 0.8133 0.4163356
idMaryland 1.159369 0.117204 9.8919 < 2.2e-16 ***
idMassachusetts 2.570213 0.137420 18.7033 < 2.2e-16 ***
idMichigan 2.163441 0.130319 16.6011 < 2.2e-16 ***
idMinnesota 1.757311 0.124328 14.1345 < 2.2e-16 ***
idMissouri 0.625922 0.113577 5.5110 4.966e-08 ***
idNebraska 0.100866 0.268474 0.3757 0.7072496
idNevada 0.783853 0.124043 6.3192 4.596e-10 ***
idNewHampshire 0.764105 0.113938 6.7063 4.026e-11 ***
idNewJersey 1.810949 0.125454 14.4352 < 2.2e-16 ***
idNewMexico 0.875600 0.114795 7.6275 7.556e-14 ***
idNewYork 2.796709 0.141782 19.7254 < 2.2e-16 ***
idNorthCarolina 1.823586 0.125057 14.5820 < 2.2e-16 ***
idOhio 2.159757 0.130523 16.5470 < 2.2e-16 ***
idOklahoma 0.402511 0.111687 3.6039 0.0003349 ***
idOregon 1.675268 0.210986 7.9402 7.716e-15 ***
idPennsylvania 2.225844 0.131303 16.9520 < 2.2e-16 ***
idRhodeIsland 0.987796 0.175101 5.6413 2.423e-08 ***
idSouthCarolina 1.004285 0.137946 7.2803 8.712e-13 ***
idSouthDakota -0.838680 0.139551 -6.0099 2.943e-09 ***
idTennessee 0.758456 0.113947 6.6562 5.554e-11 ***
idTexas 2.336749 0.133226 17.5398 < 2.2e-16 ***
idUtah 0.676639 0.113952 5.9379 4.481e-09 ***
idVermont -0.071312 0.128781 -0.5537 0.5799227
idVirginia 1.519509 0.121262 12.5308 < 2.2e-16 ***
idWashington 1.716860 0.123873 13.8598 < 2.2e-16 ***
idWisconsin 1.498601 0.120855 12.4000 < 2.2e-16 ***
time2001 22.933203 28.689273 0.7994 0.4243413
time2002 24.312442 30.154923 0.8063 0.4203632
time2003 24.401420 30.200845 0.8080 0.4193728
time2004 28.621534 35.033296 0.8170 0.4142085
time2005 28.702394 34.783948 0.8252 0.4095518
time2006 23.621173 28.491761 0.8291 0.4073482
time2007 19.579071 23.396621 0.8368 0.4029628
time2008 12.525241 15.020062 0.8339 0.4046124
time2009 4.352377 5.115105 0.8509 0.3951138
time2010 3.335857 3.868838 0.8622 0.3888429
time2011 3.779345 4.313269 0.8762 0.3812049
time2012 3.197936 3.480981 0.9187 0.3585650
time2013 1.609937 1.850480 0.8700 0.3845835
time2014 -1.137274 1.038122 -1.0955 0.2736577
time2015 -0.418012 0.538634 -0.7761 0.4379678
iis2 -0.746738 0.269105 -2.7749 0.0056646 **
iis4 -0.733293 0.269169 -2.7243 0.0065997 **
iis10 -0.896378 0.269134 -3.3306 0.0009106 ***
iis13 -0.893871 0.269446 -3.3174 0.0009539 ***
iis17 -1.240853 0.269309 -4.6076 4.815e-06 ***
iis22 -0.757730 0.258734 -2.9286 0.0035119 **
iis39 1.174675 0.281639 4.1709 3.403e-05 ***
iis44 -1.276087 0.265828 -4.8004 1.925e-06 ***
iis45 -0.972860 0.266620 -3.6489 0.0002823 ***
iis46 -1.018522 0.266027 -3.8286 0.0001400 ***
iis53 -1.087071 0.265174 -4.0995 4.611e-05 ***
iis57 -1.209107 0.265986 -4.5458 6.415e-06 ***
iis137 -1.019189 0.271995 -3.7471 0.0001932 ***
iis141 -0.723056 0.311001 -2.3249 0.0203517 *
iis182 0.749479 0.258627 2.8979 0.0038702 **
iis205 -0.950586 0.268968 -3.5342 0.0004350 ***
iis206 1.123462 0.270054 4.1601 3.563e-05 ***
iis207 -0.869507 0.271007 -3.2084 0.0013935 **
iis208 -1.047289 0.269902 -3.8803 0.0001139 ***
iis268 0.888589 0.259658 3.4222 0.0006562 ***
iis296 -0.755282 0.258479 -2.9220 0.0035861 **
iis305 -0.678759 0.259565 -2.6150 0.0091091 **
iis310 -1.071765 0.258871 -4.1402 3.880e-05 ***
iis342 0.638520 0.281593 2.2675 0.0236525 *
iis346 -1.015436 0.259119 -3.9188 9.744e-05 ***
iis352 -0.947778 0.259230 -3.6561 0.0002746 ***
iis438 -1.014390 0.258933 -3.9176 9.793e-05 ***
iis464 -1.138887 0.268433 -4.2427 2.495e-05 ***
iis466 -0.970612 0.266957 -3.6358 0.0002967 ***
iis475 1.240811 0.357374 3.4720 0.0005473 ***
iis493 -0.644393 0.271963 -2.3694 0.0180779 *
iis629 0.752023 0.308875 2.4347 0.0151441 *
iis684 -0.695606 0.260172 -2.6736 0.0076728 **
iis701 0.632475 0.263981 2.3959 0.0168324 *
iis702 0.561381 0.264688 2.1209 0.0342684 *
iis707 1.316333 0.271845 4.8422 1.571e-06 ***
iis712 1.092156 0.268890 4.0617 5.404e-05 ***
iis713 0.845192 0.270164 3.1284 0.0018279 **
iis717 0.650112 0.268891 2.4178 0.0158628 *
iis720 0.776804 0.269310 2.8844 0.0040380 **
iis722 -1.035227 0.269493 -3.8414 0.0001331 ***
iis725 -0.963942 0.258549 -3.7283 0.0002079 ***
iis781 -0.700305 0.266950 -2.6234 0.0088904 **
iis799 -1.003412 0.258989 -3.8743 0.0001166 ***
fesisAlabama.2011 0.264911 0.134811 1.9651 0.0497900 *
fesisArkansas.2006 0.424592 0.151448 2.8035 0.0051899 **
fesisConnecticut.2009 -0.579490 0.118355 -4.8962 1.206e-06 ***
fesisDelaware.2014 -0.756460 0.125863 -6.0102 2.938e-09 ***
fesisDistrictofColumbia.2008 -0.775291 0.207175 -3.7422 0.0001969 ***
fesisDistrictofColumbia.2011 0.934635 0.199533 4.6841 3.359e-06 ***
fesisHawaii.2009 -0.543686 0.131190 -4.1443 3.813e-05 ***
fesisIdaho.2002 0.814290 0.258938 3.1447 0.0017305 **
fesisIowa.2002 0.550997 0.259382 2.1243 0.0339862 *
fesisLouisiana.2011 -0.677921 0.150413 -4.5071 7.664e-06 ***
fesisLouisiana.2015 0.726935 0.178650 4.0691 5.240e-05 ***
fesisNebraska.2002 -1.017663 0.290930 -3.4980 0.0004975 ***
fesisNebraska.2005 0.610775 0.170521 3.5818 0.0003641 ***
fesisNebraska.2015 0.551271 0.171712 3.2104 0.0013840 **
fesisNebraska.2018 -0.992949 0.290697 -3.4158 0.0006716 ***
fesisNevada.2012 -0.497558 0.128984 -3.8575 0.0001248 ***
fesisNevada.2019 0.597235 0.272658 2.1904 0.0288127 *
fesisOregon.2004 -0.474267 0.190444 -2.4903 0.0129861 *
fesisRhodeIsland.2004 -0.746071 0.160096 -4.6601 3.762e-06 ***
fesisSouthCarolina.2008 0.685109 0.125536 5.4575 6.641e-08 ***
fesisSouthDakota.2008 0.575824 0.141415 4.0719 5.179e-05 ***
fesisUtah.2019 -0.888418 0.258834 -3.4324 0.0006324 ***
fesisVermont.2010 0.485165 0.170639 2.8432 0.0045920 **
fesisVermont.2013 -0.725315 0.174066 -4.1669 3.461e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0054151 1 0.9413
Ljung-Box ARCH(1) 0.0557388 1 0.8134
SE of regression 0.24861
R-squared 0.95956
Log-lik.(n=855) 42.84231 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:28:11 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.088222 0.032667 2.7007 0.0071189 **
lgdp -370.701911 328.280257 -1.1292 0.2592631
lpop 361.675055 320.062617 1.1300 0.2589305
lgdp_sq 8.925075 7.914456 1.1277 0.2599088
avg_temp 0.880316 0.745450 1.1809 0.2381117
idCalifornia 2.040078 0.104231 19.5726 < 2.2e-16 ***
idColorado 0.294310 0.074770 3.9362 9.267e-05 ***
idConnecticut 0.851617 0.100480 8.4755 < 2.2e-16 ***
idDelaware -0.115694 0.083157 -1.3913 0.1646711
idDistrictofColumbia -1.364355 0.119516 -11.4157 < 2.2e-16 ***
idFlorida 0.345414 0.074300 4.6489 4.122e-06 ***
idGeorgia -0.304919 0.074223 -4.1081 4.554e-05 ***
idIdaho -1.336261 0.087746 -15.2287 < 2.2e-16 ***
idIllinois 0.341111 0.074459 4.5812 5.647e-06 ***
idIndiana -0.652452 0.076199 -8.5625 < 2.2e-16 ***
idIowa -1.945826 0.237293 -8.2001 1.510e-15 ***
idKentucky -1.415482 0.091420 -15.4832 < 2.2e-16 ***
idMaryland -0.386304 0.073915 -5.2264 2.404e-07 ***
idMassachusetts 0.968963 0.081913 11.8292 < 2.2e-16 ***
idMichigan 0.578605 0.076462 7.5672 1.476e-13 ***
idMinnesota 0.438614 0.106711 4.1103 4.512e-05 ***
idMissouri -0.898013 0.080376 -11.1727 < 2.2e-16 ***
idNevada -0.753154 0.088289 -8.5305 < 2.2e-16 ***
idNewHampshire -0.760436 0.078984 -9.6277 < 2.2e-16 ***
idNewJersey 0.238728 0.073926 3.2293 0.0013100 **
idNewMexico -0.503573 0.096202 -5.2345 2.304e-07 ***
idNewYork 1.186169 0.085920 13.8054 < 2.2e-16 ***
idNorthCarolina 0.252464 0.073779 3.4219 0.0006650 ***
idOhio 0.574422 0.076593 7.4996 2.368e-13 ***
idOklahoma -1.112910 0.082373 -13.5106 < 2.2e-16 ***
idOregon -0.193194 0.231589 -0.8342 0.4045017
idPennsylvania 0.638613 0.077113 8.2815 8.204e-16 ***
idRhodeIsland -0.533554 0.142290 -3.7498 0.0001945 ***
idSouthCarolina 0.026094 0.232097 0.1124 0.9105247
idTennessee -0.770008 0.079443 -9.6926 < 2.2e-16 ***
idTexas 0.744963 0.078494 9.4907 < 2.2e-16 ***
idUtah -0.810742 0.080356 -10.0893 < 2.2e-16 ***
idVirginia -0.038397 0.074028 -0.5187 0.6041796
idWashington 0.149093 0.073409 2.0310 0.0427050 *
idWisconsin -0.059982 0.072997 -0.8217 0.4115729
time2001 53.518063 47.806992 1.1195 0.2633998
time2002 50.549051 45.071632 1.1215 0.2625206
time2003 51.222982 45.683662 1.1213 0.2626368
time2004 49.834191 44.325999 1.1243 0.2613584
time2005 48.186508 42.727507 1.1278 0.2598791
time2006 43.280814 38.242901 1.1317 0.2582066
time2007 39.485652 34.800778 1.1346 0.2569962
time2008 32.689517 28.664376 1.1404 0.2545736
time2009 16.055051 13.797345 1.1636 0.2450438
time2010 14.614367 12.526790 1.1666 0.2438243
time2011 14.242073 12.199135 1.1675 0.2434947
time2012 10.921067 9.370038 1.1655 0.2442760
time2013 9.155834 7.778854 1.1770 0.2396646
time2014 3.831674 3.383045 1.1326 0.2578385
time2015 1.899277 1.573708 1.2069 0.2279627
iis3 -0.717666 0.231570 -3.0991 0.0020335 **
iis40 -0.546985 0.231423 -2.3636 0.0184234 *
iis87 -0.762833 0.234447 -3.2537 0.0012042 **
iis99 -1.038872 0.243320 -4.2696 2.283e-05 ***
iis103 -0.896661 0.263850 -3.3984 0.0007236 ***
iis144 0.703624 0.231627 3.0377 0.0024891 **
iis153 -0.796693 0.231953 -3.4347 0.0006349 ***
iis211 0.877308 0.232425 3.7746 0.0001765 ***
iis229 -0.680297 0.232605 -2.9247 0.0035807 **
iis234 -1.104590 0.231685 -4.7676 2.352e-06 ***
iis324 -1.001821 0.231936 -4.3194 1.836e-05 ***
iis360 -1.292015 0.320139 -4.0358 6.160e-05 ***
iis370 -0.696462 0.231755 -3.0052 0.0027673 **
iis503 -0.560731 0.232604 -2.4107 0.0162286 *
iis538 0.560620 0.233372 2.4023 0.0166026 *
iis551 -0.621087 0.233285 -2.6624 0.0079716 **
iis568 0.622450 0.236136 2.6360 0.0086105 **
iis569 0.560564 0.237251 2.3628 0.0184639 *
iis573 -0.910884 0.231413 -3.9362 9.268e-05 ***
iis624 -0.734955 0.231591 -3.1735 0.0015846 **
iis627 -0.899508 0.231919 -3.8785 0.0001169 ***
iis628 -0.981514 0.232034 -4.2300 2.709e-05 ***
fesisConnecticut.2009 -0.577678 0.106519 -5.4232 8.554e-08 ***
fesisDelaware.2014 -0.782904 0.114677 -6.8270 2.162e-11 ***
fesisDistrictofColumbia.2008 -0.629781 0.161617 -3.8968 0.0001087 ***
fesisDistrictofColumbia.2012 0.829289 0.168422 4.9239 1.103e-06 ***
fesisDistrictofColumbia.2017 -0.641585 0.247166 -2.5958 0.0096735 **
fesisDistrictofColumbia.2018 0.923320 0.276172 3.3433 0.0008805 ***
fesisIowa.2002 0.532099 0.232372 2.2899 0.0223824 *
fesisMinnesota.2007 -0.365931 0.111742 -3.2748 0.0011195 **
fesisNevada.2012 -0.473397 0.115892 -4.0848 5.022e-05 ***
fesisNevada.2018 0.652955 0.244367 2.6720 0.0077482 **
fesisNewHampshire.2019 0.576808 0.232138 2.4848 0.0132403 *
fesisNewMexico.2009 -0.610091 0.153103 -3.9848 7.599e-05 ***
fesisNewMexico.2012 0.468248 0.152553 3.0694 0.0022435 **
fesisOregon.2002 0.837190 0.276304 3.0300 0.0025531 **
fesisOregon.2004 -0.959168 0.171122 -5.6052 3.199e-08 ***
fesisRhodeIsland.2004 -0.778470 0.144456 -5.3890 1.026e-07 ***
fesisSouthCarolina.2002 -0.642762 0.243688 -2.6376 0.0085689 **
fesisSouthCarolina.2008 0.733249 0.118154 6.2059 1.026e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.17072 1 0.6795
Ljung-Box ARCH(1) 0.11704 1 0.7323
SE of regression 0.22184
R-squared 0.95656
Log-lik.(n=684) 106.92467 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:16:00 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.4301e-01 1.8689e-02 29.0548 < 2.2e-16 ***
lgdp 6.7299e+03 1.4545e+04 0.4627 0.6436886
lpop -5.5680e+03 1.2076e+04 -0.4611 0.6448479
lgdp_sq -2.3475e+02 5.0624e+02 -0.4637 0.6429734
avg_temp 2.0255e+00 7.4403e+00 0.2722 0.7855014
idAlaska -1.4949e+00 1.5958e+00 -0.9368 0.3491309
idArizona 8.5770e+00 1.6292e+00 5.2647 1.772e-07 ***
idArkansas -6.0605e-01 1.5950e+00 -0.3800 0.7040558
idCalifornia 5.6749e+01 5.2446e+00 10.8205 < 2.2e-16 ***
idColorado 1.3188e+01 1.6739e+00 7.8787 9.888e-15 ***
idConnecticut 1.6354e+01 1.7339e+00 9.4317 < 2.2e-16 ***
idDelaware 5.0297e+00 1.6097e+00 3.1245 0.0018401 **
idDistrictofColumbia 2.1025e-01 1.5949e+00 0.1318 0.8951545
idFlorida 1.3796e+01 1.6835e+00 8.1950 8.960e-16 ***
idGeorgia 4.5588e+00 1.6390e+00 2.7814 0.0055299 **
idHawaii -2.1165e-01 1.5949e+00 -0.1327 0.8944590
idIdaho 3.7099e-01 1.5950e+00 0.2326 0.8161329
idIllinois 1.3430e+01 1.6814e+00 7.9876 4.366e-15 ***
idIndiana 3.1025e+00 1.5996e+00 1.9395 0.0527692 .
idIowa 2.5945e-01 1.5950e+00 0.1627 0.8708205
idKansas -3.2514e-01 1.5949e+00 -0.2039 0.8385088
idKentucky 4.8551e-02 1.5949e+00 0.0304 0.9757220
idLouisiana 8.0094e-02 1.5949e+00 0.0502 0.9599590
idMaine 8.3527e-02 1.5949e+00 0.0524 0.9582448
idMaryland 4.8350e+00 1.6069e+00 3.0089 0.0026980 **
idMassachusetts 2.0219e+01 2.4829e+00 8.1432 1.335e-15 ***
idMichigan 1.8237e+01 1.7917e+00 10.1788 < 2.2e-16 ***
idMinnesota 1.0839e+01 1.6526e+00 6.5583 9.344e-11 ***
idMississippi -1.1860e+00 1.5954e+00 -0.7434 0.4574279
idMissouri 1.7587e+00 1.5968e+00 1.1014 0.2710366
idMontana -9.2815e-01 1.5951e+00 -0.5819 0.5608102
idNebraska -4.8100e-01 1.5950e+00 -0.3016 0.7630573
idNevada 1.6721e+00 1.5967e+00 1.0472 0.2953034
idNewHampshire 2.4596e+00 1.5983e+00 1.5389 0.1241848
idNewJersey 1.0397e+01 1.6894e+00 6.1542 1.152e-09 ***
idNewMexico 3.0370e+00 1.6002e+00 1.8980 0.0580327 .
idNewYork 3.8514e+01 2.2121e+00 17.4103 < 2.2e-16 ***
idNorthCarolina 1.2246e+01 1.6628e+00 7.3646 4.134e-13 ***
idNorthDakota -1.1280e+00 1.5953e+00 -0.7070 0.4797320
idOhio 1.6323e+01 1.7682e+00 9.2313 < 2.2e-16 ***
idOklahoma 1.0890e+00 1.5956e+00 0.6825 0.4950973
idOregon 4.8781e+00 1.6369e+00 2.9801 0.0029624 **
idPennsylvania 1.7070e+01 1.8203e+00 9.3775 < 2.2e-16 ***
idRhodeIsland 6.9815e-01 1.5954e+00 0.4376 0.6617889
idSouthCarolina 8.4915e+00 1.6564e+00 5.1264 3.644e-07 ***
idSouthDakota -1.7978e-01 1.5949e+00 -0.1127 0.9102768
idTennessee 2.6623e+00 1.5980e+00 1.6661 0.0960612 .
idTexas 1.4955e+01 2.2629e+00 6.6088 6.758e-11 ***
idUtah 2.1248e+00 1.5979e+00 1.3298 0.1839477
idVermont -1.4055e-01 1.5949e+00 -0.0881 0.9297971
idVirginia 8.2775e+00 1.6264e+00 5.0896 4.401e-07 ***
idWashington 8.4590e+00 1.6998e+00 4.9763 7.816e-07 ***
idWestVirginia -1.0561e+00 1.5952e+00 -0.6620 0.5081203
idWisconsin 8.1072e+00 1.6268e+00 4.9834 7.541e-07 ***
idWyoming -9.0005e-01 1.5951e+00 -0.5643 0.5727169
time2001 -2.4543e+02 5.1833e+02 -0.4735 0.6359762
time2002 -2.5582e+02 5.4483e+02 -0.4695 0.6388033
time2003 -2.5740e+02 5.4568e+02 -0.4717 0.6372518
time2004 -2.9556e+02 6.3305e+02 -0.4669 0.6406996
time2005 -2.9164e+02 6.2857e+02 -0.4640 0.6427867
time2006 -2.3709e+02 5.1486e+02 -0.4605 0.6452846
time2007 -1.9319e+02 4.2279e+02 -0.4569 0.6478311
time2008 -1.2525e+02 2.7141e+02 -0.4615 0.6445622
time2009 -4.1229e+01 9.2388e+01 -0.4463 0.6555240
time2010 -3.1560e+01 6.9880e+01 -0.4516 0.6516531
time2011 -3.5274e+01 7.7912e+01 -0.4527 0.6508497
time2012 -2.6125e+01 6.2868e+01 -0.4156 0.6778367
time2013 -1.6510e+01 3.3425e+01 -0.4940 0.6214634
time2014 2.0960e+00 1.8748e+01 0.1118 0.9110113
time2015 5.1813e+00 9.7595e+00 0.5309 0.5956292
iis78 -3.6818e+01 5.6934e+00 -6.4668 1.670e-10 ***
iis79 -3.1648e+01 5.7314e+00 -5.5219 4.434e-08 ***
iis82 8.3230e+01 5.4883e+00 15.1649 < 2.2e-16 ***
iis83 6.4150e+01 5.5217e+00 11.6178 < 2.2e-16 ***
iis84 9.6197e+01 5.6473e+00 17.0340 < 2.2e-16 ***
iis85 1.0334e+02 5.9469e+00 17.3765 < 2.2e-16 ***
iis86 5.3551e+01 6.2209e+00 8.6083 < 2.2e-16 ***
iis87 6.1277e+01 5.9548e+00 10.2903 < 2.2e-16 ***
iis88 5.2436e+01 5.8845e+00 8.9107 < 2.2e-16 ***
iis89 5.3737e+01 5.8007e+00 9.2640 < 2.2e-16 ***
iis91 2.8913e+01 5.5012e+00 5.2557 1.857e-07 ***
iis92 3.0056e+01 5.4971e+00 5.4675 5.970e-08 ***
iis94 1.8015e+01 5.4462e+00 3.3077 0.0009792 ***
iis201 2.7720e+01 5.1053e+00 5.4297 7.331e-08 ***
iis405 3.1083e+01 5.3636e+00 5.7952 9.545e-09 ***
iis407 4.4077e+01 5.1894e+00 8.4938 < 2.2e-16 ***
iis427 2.3786e+01 5.1112e+00 4.6537 3.770e-06 ***
iis431 -1.8412e+01 5.1328e+00 -3.5871 0.0003530 ***
iis583 2.5182e+01 5.1041e+00 4.9336 9.679e-07 ***
iis624 -2.5501e+01 5.1188e+00 -4.9819 7.602e-07 ***
iis678 2.4302e+01 5.1059e+00 4.7596 2.272e-06 ***
iis705 2.0960e+01 5.1020e+00 4.1082 4.365e-05 ***
iis729 3.0535e+01 5.1099e+00 5.9756 3.345e-09 ***
iis732 2.5664e+01 5.1119e+00 5.0204 6.259e-07 ***
iis777 2.0529e+01 5.1015e+00 4.0242 6.217e-05 ***
iis902 2.1095e+01 5.1116e+00 4.1268 4.034e-05 ***
iis904 2.0842e+01 5.1114e+00 4.0776 4.969e-05 ***
fesisCalifornia.2002 1.6349e+01 5.8537e+00 2.7929 0.0053383 **
fesisMassachusetts.2008 7.2380e+00 2.5529e+00 2.8352 0.0046862 **
fesisNewYork.2018 -1.6424e+01 3.7283e+00 -4.4053 1.188e-05 ***
fesisTexas.2008 2.5610e+01 3.4554e+00 7.4116 2.965e-13 ***
fesisTexas.2011 -1.7812e+01 3.3118e+00 -5.3783 9.675e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 14.136 1 0.00017 ***
Ljung-Box ARCH(1) 25.726 1 3.935e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.91576
R-squared 0.98374
Log-lik.(n=969) -2867.03151 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:18:52 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.2827e-01 2.0663e-02 25.5662 < 2.2e-16 ***
lgdp 1.5526e+04 1.6692e+04 0.9301 0.3525959
lpop -1.2865e+04 1.3859e+04 -0.9283 0.3535630
lgdp_sq -5.4117e+02 5.8098e+02 -0.9315 0.3518959
avg_temp 6.3009e+00 8.5417e+00 0.7377 0.4609456
idArizona 8.8391e+00 1.7683e+00 4.9987 7.160e-07 ***
idArkansas -6.1832e-01 1.7297e+00 -0.3575 0.7208439
idCalifornia 4.6487e+01 3.7619e+00 12.3572 < 2.2e-16 ***
idColorado 1.3589e+01 1.8186e+00 7.4721 2.163e-13 ***
idConnecticut 1.6890e+01 1.8861e+00 8.9551 < 2.2e-16 ***
idDelaware 5.2018e+00 1.7464e+00 2.9786 0.0029874 **
idDistrictofColumbia 2.1683e-01 1.7297e+00 0.1254 0.9002741
idFlorida 1.4222e+01 1.8295e+00 7.7737 2.464e-14 ***
idGeorgia 4.7991e+00 1.7787e+00 2.6982 0.0071265 **
idHawaii -2.1552e-01 1.7297e+00 -0.1246 0.9008738
idIdaho 3.8691e-01 1.7298e+00 0.2237 0.8230707
idIllinois 1.3850e+01 1.8271e+00 7.5805 9.984e-14 ***
idIndiana 3.1998e+00 1.7350e+00 1.8442 0.0655397 .
idIowa 2.7329e-01 1.7298e+00 0.1580 0.8745037
idKansas -3.2808e-01 1.7297e+00 -0.1897 0.8496102
idKentucky 5.4887e-02 1.7297e+00 0.0317 0.9746938
idLouisiana 8.1051e-02 1.7297e+00 0.0469 0.9626375
idMaine 8.9180e-02 1.7297e+00 0.0516 0.9588937
idMaryland 4.9898e+00 1.7432e+00 2.8624 0.0043194 **
idMassachusetts 2.1164e+01 2.7072e+00 7.8176 1.786e-14 ***
idMichigan 1.8862e+01 1.9499e+00 9.6733 < 2.2e-16 ***
idMinnesota 1.1180e+01 1.7947e+00 6.2295 7.726e-10 ***
idMissouri 1.8207e+00 1.7318e+00 1.0513 0.2934458
idNebraska -4.9695e-01 1.7298e+00 -0.2873 0.7739713
idNevada 1.7324e+00 1.7317e+00 1.0004 0.3174470
idNewHampshire 2.5416e+00 1.7335e+00 1.4662 0.1430036
idNewJersey 1.0789e+01 1.8354e+00 5.8780 6.201e-09 ***
idNewMexico 3.1394e+00 1.7356e+00 1.8088 0.0708714 .
idNewYork 3.9617e+01 2.4193e+00 16.3757 < 2.2e-16 ***
idNorthCarolina 1.2617e+01 1.8061e+00 6.9855 6.181e-12 ***
idOhio 1.6894e+01 1.9242e+00 8.7797 < 2.2e-16 ***
idOklahoma 1.1267e+00 1.7305e+00 0.6511 0.5151720
idOregon 5.0428e+00 1.7760e+00 2.8394 0.0046404 **
idPennsylvania 1.7722e+01 1.9819e+00 8.9417 < 2.2e-16 ***
idRhodeIsland 7.3113e-01 1.7303e+00 0.4226 0.6727416
idSouthCarolina 9.8571e+00 1.7752e+00 5.5526 3.886e-08 ***
idSouthDakota -1.7855e-01 1.7297e+00 -0.1032 0.9178112
idTennessee 2.7408e+00 1.7332e+00 1.5814 0.1141990
idTexas 1.5646e+01 2.4628e+00 6.3530 3.626e-10 ***
idUtah 2.2024e+00 1.7331e+00 1.2708 0.2041810
idVermont -1.3881e-01 1.7297e+00 -0.0803 0.9360551
idVirginia 8.5286e+00 1.7651e+00 4.8318 1.636e-06 ***
idWashington 1.1007e+01 1.7943e+00 6.1342 1.372e-09 ***
idWisconsin 8.3602e+00 1.7656e+00 4.7349 2.612e-06 ***
time2001 -5.6048e+02 5.9482e+02 -0.9423 0.3463587
time2002 -5.8707e+02 6.2523e+02 -0.9390 0.3480471
time2003 -5.8904e+02 6.2622e+02 -0.9406 0.3471903
time2004 -6.7927e+02 7.2649e+02 -0.9350 0.3500861
time2005 -6.7219e+02 7.2136e+02 -0.9318 0.3517100
time2006 -5.4875e+02 5.9087e+02 -0.9287 0.3533267
time2007 -4.4875e+02 4.8520e+02 -0.9249 0.3553205
time2008 -2.8964e+02 3.1147e+02 -0.9299 0.3527089
time2009 -9.6888e+01 1.0601e+02 -0.9140 0.3610255
time2010 -7.4022e+01 8.0180e+01 -0.9232 0.3561998
time2011 -8.2106e+01 8.9401e+01 -0.9184 0.3586999
time2012 -6.3941e+01 7.2140e+01 -0.8864 0.3757051
time2013 -3.6979e+01 3.8348e+01 -0.9643 0.3352086
time2014 1.2180e+01 2.1537e+01 0.5656 0.5718640
time2015 1.0813e+01 1.1212e+01 0.9644 0.3351386
iis63 8.2660e+01 5.9620e+00 13.8644 < 2.2e-16 ***
iis64 6.4561e+01 5.9997e+00 10.7607 < 2.2e-16 ***
iis65 9.7045e+01 6.1389e+00 15.8083 < 2.2e-16 ***
iis66 1.0420e+02 6.4709e+00 16.1025 < 2.2e-16 ***
iis67 5.5438e+01 6.7738e+00 8.1843 1.144e-15 ***
iis68 6.2488e+01 6.4757e+00 9.6496 < 2.2e-16 ***
iis69 5.3802e+01 6.3995e+00 8.4072 < 2.2e-16 ***
iis70 5.5046e+01 6.3071e+00 8.7276 < 2.2e-16 ***
iis72 2.9443e+01 5.9761e+00 4.9267 1.026e-06 ***
iis73 3.0758e+01 5.9716e+00 5.1508 3.304e-07 ***
iis75 1.8248e+01 5.9146e+00 3.0852 0.0021074 **
iis182 2.7013e+01 5.5441e+00 4.8723 1.341e-06 ***
iis386 3.0993e+01 5.8249e+00 5.3207 1.359e-07 ***
iis388 4.3870e+01 5.6358e+00 7.7842 2.282e-14 ***
iis408 2.2811e+01 5.5499e+00 4.1101 4.383e-05 ***
iis412 -1.8240e+01 5.5743e+00 -3.2722 0.0011152 **
iis526 2.5022e+01 5.5440e+00 4.5134 7.386e-06 ***
iis567 -2.5215e+01 5.5591e+00 -4.5357 6.663e-06 ***
iis602 2.4053e+01 5.5465e+00 4.3367 1.640e-05 ***
iis629 2.1610e+01 5.5400e+00 3.9007 0.0001043 ***
iis653 3.0298e+01 5.5495e+00 5.4595 6.460e-08 ***
iis656 2.5391e+01 5.5513e+00 4.5740 5.581e-06 ***
fesisCalifornia.2004 2.9463e+01 4.4481e+00 6.6237 6.606e-11 ***
fesisMassachusetts.2008 7.1964e+00 2.7701e+00 2.5979 0.0095602 **
fesisNewYork.2018 -1.6301e+01 4.0490e+00 -4.0258 6.244e-05 ***
fesisTexas.2008 2.5251e+01 3.7506e+00 6.7326 3.274e-11 ***
fesisTexas.2011 -1.7304e+01 3.5967e+00 -4.8110 1.810e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 14.833 1 0.0001174 ***
Ljung-Box ARCH(1) 25.436 1 4.572e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.33116
R-squared 0.98246
Log-lik.(n=855) -2598.59434 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 01:19:07 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.4114e-01 2.4213e-02 22.3496 < 2.2e-16 ***
lgdp 4.5309e+03 8.9260e+03 0.5076 0.6119119
lpop -4.4557e+03 8.7027e+03 -0.5120 0.6088407
lgdp_sq -1.0764e+02 2.1519e+02 -0.5002 0.6171069
avg_temp -8.7838e+00 2.0266e+01 -0.4334 0.6648594
idCalifornia 3.7474e+01 4.2099e+00 8.9013 < 2.2e-16 ***
idColorado 4.6285e+00 2.0141e+00 2.2980 0.0219006 *
idConnecticut 7.8113e+00 2.0513e+00 3.8079 0.0001543 ***
idDelaware -3.5586e+00 2.0067e+00 -1.7734 0.0766650 .
idDistrictofColumbia -8.3990e+00 2.0448e+00 -4.1075 4.546e-05 ***
idFlorida 5.2401e+00 2.0191e+00 2.5953 0.0096782 **
idGeorgia -3.9691e+00 2.0313e+00 -1.9540 0.0511617 .
idIdaho -8.2371e+00 2.0417e+00 -4.0344 6.170e-05 ***
idIllinois 4.8733e+00 2.0179e+00 2.4150 0.0160298 *
idIndiana -5.4954e+00 2.0195e+00 -2.7212 0.0066910 **
idIowa -8.3489e+00 2.0424e+00 -4.0878 4.938e-05 ***
idKentucky -8.5608e+00 2.0449e+00 -4.1864 3.252e-05 ***
idMaryland -3.7555e+00 2.0090e+00 -1.8694 0.0620524 .
idMassachusetts 1.6492e+01 2.3227e+00 7.1002 3.484e-12 ***
idMichigan 1.1068e+01 2.0900e+00 5.2956 1.659e-07 ***
idMinnesota 2.2716e+00 2.0055e+00 1.1327 0.2577892
idMissouri -6.8436e+00 2.0281e+00 -3.3744 0.0007867 ***
idNevada -6.9304e+00 2.0285e+00 -3.4165 0.0006766 ***
idNewHampshire -6.1401e+00 2.0230e+00 -3.0351 0.0025068 **
idNewJersey 1.8836e+00 2.0400e+00 0.9233 0.3562054
idNewMexico -5.5601e+00 2.0184e+00 -2.7547 0.0060493 **
idNewYork 2.6976e+01 2.4584e+00 10.9731 < 2.2e-16 ***
idNorthCarolina 3.6826e+00 2.0092e+00 1.8329 0.0673108 .
idOhio 7.8325e+00 2.0900e+00 3.7475 0.0001956 ***
idOklahoma -7.5163e+00 2.0349e+00 -3.6937 0.0002409 ***
idOregon -2.6037e+00 2.0039e+00 -1.2993 0.1943447
idPennsylvania 9.9679e+00 2.1154e+00 4.7120 3.042e-06 ***
idRhodeIsland -7.9078e+00 2.0363e+00 -3.8833 0.0001143 ***
idSouthCarolina 9.9791e-01 2.0016e+00 0.4986 0.6182724
idTennessee -5.9378e+00 2.0239e+00 -2.9339 0.0034731 **
idTexas 1.2818e+01 2.1547e+00 5.9488 4.557e-09 ***
idUtah -6.4755e+00 2.0241e+00 -3.1992 0.0014496 **
idVirginia -3.0085e-01 2.0013e+00 -0.1503 0.8805563
idWashington 2.0991e+00 2.0054e+00 1.0468 0.2956291
idWisconsin -4.7095e-01 2.0013e+00 -0.2353 0.8140381
time2001 -6.5750e+02 1.2999e+03 -0.5058 0.6131594
time2002 -6.1889e+02 1.2255e+03 -0.5050 0.6137294
time2003 -6.3089e+02 1.2421e+03 -0.5079 0.6117018
time2004 -6.0920e+02 1.2052e+03 -0.5055 0.6134108
time2005 -5.8819e+02 1.1618e+03 -0.5063 0.6128335
time2006 -5.2524e+02 1.0398e+03 -0.5051 0.6136569
time2007 -4.7789e+02 9.4623e+02 -0.5050 0.6137098
time2008 -3.8913e+02 7.7938e+02 -0.4993 0.6177599
time2009 -1.7829e+02 3.7513e+02 -0.4753 0.6347645
time2010 -1.5990e+02 3.4059e+02 -0.4695 0.6388931
time2011 -1.5892e+02 3.3168e+02 -0.4791 0.6320223
time2012 -1.2256e+02 2.5476e+02 -0.4811 0.6306246
time2013 -9.8648e+01 2.1149e+02 -0.4664 0.6410695
time2014 -4.7043e+01 9.1971e+01 -0.5115 0.6091868
time2015 -1.6849e+01 4.2779e+01 -0.3939 0.6938115
iis25 8.2360e+01 6.9177e+00 11.9057 < 2.2e-16 ***
iis26 6.3526e+01 6.9643e+00 9.1217 < 2.2e-16 ***
iis27 9.4387e+01 7.1219e+00 13.2531 < 2.2e-16 ***
iis28 1.0081e+02 7.5033e+00 13.4358 < 2.2e-16 ***
iis29 5.0617e+01 7.8464e+00 6.4510 2.266e-10 ***
iis30 5.9849e+01 7.4968e+00 7.9834 7.116e-15 ***
iis31 5.1308e+01 7.4127e+00 6.9216 1.135e-11 ***
iis32 5.2400e+01 7.3110e+00 7.1673 2.222e-12 ***
iis34 2.8139e+01 6.9324e+00 4.0591 5.569e-05 ***
iis35 3.1076e+01 6.9250e+00 4.4875 8.618e-06 ***
iis37 1.8035e+01 6.8619e+00 2.6283 0.0087970 **
iis144 2.6646e+01 6.4364e+00 4.1398 3.966e-05 ***
iis272 2.6158e+01 6.4472e+00 4.0572 5.612e-05 ***
iis274 4.5250e+01 6.4399e+00 7.0265 5.688e-12 ***
iis298 -2.0608e+01 6.4579e+00 -3.1912 0.0014900 **
iis393 2.4258e+01 6.4363e+00 3.7689 0.0001799 ***
iis469 2.3367e+01 6.4402e+00 3.6284 0.0003091 ***
iis520 2.9051e+01 6.4299e+00 4.5181 7.496e-06 ***
iis598 2.5725e+01 6.4303e+00 4.0006 7.097e-05 ***
fesisCalifornia.2004 2.8022e+01 5.1514e+00 5.4397 7.738e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 16.407 1 5.109e-05 ***
Ljung-Box ARCH(1) 14.631 1 0.0001308 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.16823
R-squared 0.97979
Log-lik.(n=684) -2177.53180 0.05
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:15:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 969
Sample: 1 to 969
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.3917e-01 1.7610e-02 30.6166 < 2.2e-16 ***
lgdp 5.6304e+03 1.3234e+04 0.4255 0.6706163
lpop -4.6552e+03 1.0988e+04 -0.4237 0.6719118
lgdp_sq -1.9646e+02 4.6063e+02 -0.4265 0.6698499
avg_temp 1.4277e+00 6.7813e+00 0.2105 0.8333033
idAlaska -1.5058e+00 1.4485e+00 -1.0396 0.2988399
idArizona 7.7842e+00 1.8318e+00 4.2495 2.380e-05 ***
idArkansas -6.0924e-01 1.4477e+00 -0.4208 0.6739775
idCalifornia 5.7214e+01 4.7700e+00 11.9947 < 2.2e-16 ***
idColorado 1.3292e+01 1.5247e+00 8.7178 < 2.2e-16 ***
idConnecticut 2.1510e+01 2.1144e+00 10.1732 < 2.2e-16 ***
idDelaware 7.8525e+00 1.7681e+00 4.4411 1.013e-05 ***
idDistrictofColumbia 2.1196e-01 1.4476e+00 0.1464 0.8836258
idFlorida 1.3907e+01 1.5341e+00 9.0651 < 2.2e-16 ***
idGeorgia 4.6298e+00 1.4890e+00 3.1093 0.0019379 **
idHawaii -2.1265e-01 1.4476e+00 -0.1469 0.8832458
idIdaho 3.7513e-01 1.4477e+00 0.2591 0.7956074
idIllinois 1.2797e+01 1.5528e+00 8.2412 6.433e-16 ***
idIndiana 3.1278e+00 1.4523e+00 2.1537 0.0315424 *
idIowa 2.6305e-01 1.4477e+00 0.1817 0.8558599
idKansas -3.2590e-01 1.4476e+00 -0.2251 0.8219295
idKentucky 5.0199e-02 1.4476e+00 0.0347 0.9723452
idLouisiana 8.0343e-02 1.4476e+00 0.0555 0.9557524
idMaine 8.4998e-02 1.4476e+00 0.0587 0.9531923
idMaryland 4.8753e+00 1.4594e+00 3.3407 0.0008722 ***
idMassachusetts 2.0609e+01 2.2646e+00 9.1006 < 2.2e-16 ***
idMichigan 1.6937e+01 1.9688e+00 8.6027 < 2.2e-16 ***
idMinnesota 1.0927e+01 1.5040e+00 7.2654 8.426e-13 ***
idMississippi -1.1941e+00 1.4481e+00 -0.8246 0.4098113
idMissouri 1.7748e+00 1.4495e+00 1.2245 0.2211201
idMontana -9.3404e-01 1.4478e+00 -0.6451 0.5190209
idNebraska -4.8515e-01 1.4477e+00 -0.3351 0.7376247
idNevada 1.6878e+00 1.4494e+00 1.1645 0.2445654
idNewHampshire 2.4810e+00 1.4509e+00 1.7099 0.0876426 .
idNewJersey 1.1299e+01 1.5535e+00 7.2731 7.987e-13 ***
idNewMexico 3.0637e+00 1.4528e+00 2.1089 0.0352483 *
idNewYork 4.3365e+01 3.5159e+00 12.3340 < 2.2e-16 ***
idNorthCarolina 1.2342e+01 1.5139e+00 8.1525 1.274e-15 ***
idNorthDakota -1.1358e+00 1.4480e+00 -0.7844 0.4330478
idOhio 1.6245e+01 1.6506e+00 9.8420 < 2.2e-16 ***
idOklahoma 1.0988e+00 1.4483e+00 0.7587 0.4482417
idOregon 4.9184e+00 1.4872e+00 3.3071 0.0009823 ***
idPennsylvania 1.7166e+01 1.6639e+00 10.3166 < 2.2e-16 ***
idRhodeIsland 7.0673e-01 1.4481e+00 0.4880 0.6256549
idSouthCarolina 8.5746e+00 1.5062e+00 5.6927 1.722e-08 ***
idSouthDakota -1.7946e-01 1.4476e+00 -0.1240 0.9013689
idTennessee 2.6828e+00 1.4506e+00 1.8494 0.0647507 .
idTexas 1.5276e+01 2.0593e+00 7.4177 2.889e-13 ***
idUtah 2.1450e+00 1.4506e+00 1.4788 0.1395774
idVermont -1.4010e-01 1.4476e+00 -0.0968 0.9229238
idVirginia 8.3428e+00 1.4784e+00 5.6433 2.273e-08 ***
idWashington 8.5568e+00 1.5466e+00 5.5326 4.204e-08 ***
idWestVirginia -1.0628e+00 1.4479e+00 -0.7340 0.4631605
idWisconsin 8.1730e+00 1.4788e+00 5.5267 4.342e-08 ***
idWyoming -9.0512e-01 1.4478e+00 -0.6252 0.5320225
time2001 -2.0667e+02 4.7162e+02 -0.4382 0.6613479
time2002 -2.1504e+02 4.9573e+02 -0.4338 0.6645585
time2003 -2.1635e+02 4.9650e+02 -0.4357 0.6631297
time2004 -2.4811e+02 5.7600e+02 -0.4308 0.6667564
time2005 -2.4454e+02 5.7192e+02 -0.4276 0.6690698
time2006 -1.9855e+02 4.6846e+02 -0.4238 0.6717910
time2007 -1.6201e+02 3.8469e+02 -0.4211 0.6737570
time2008 -1.0509e+02 2.4694e+02 -0.4256 0.6705272
time2009 -3.4655e+01 8.4046e+01 -0.4123 0.6802012
time2010 -2.7076e+01 6.3563e+01 -0.4260 0.6702406
time2011 -2.9296e+01 7.0881e+01 -0.4133 0.6794852
time2012 -2.1950e+01 5.7203e+01 -0.3837 0.7012808
time2013 -1.4155e+01 3.0390e+01 -0.4658 0.6414988
time2014 1.5534e+00 1.7094e+01 0.0909 0.9276165
time2015 4.4021e+00 8.8851e+00 0.4954 0.6204174
iis78 -3.6707e+01 5.1884e+00 -7.0749 3.130e-12 ***
iis79 -3.1819e+01 5.2251e+00 -6.0897 1.712e-09 ***
iis82 8.3485e+01 4.9855e+00 16.7454 < 2.2e-16 ***
iis83 6.5156e+01 5.0188e+00 12.9826 < 2.2e-16 ***
iis84 9.6841e+01 5.1405e+00 18.8388 < 2.2e-16 ***
iis85 1.0424e+02 5.4315e+00 19.1919 < 2.2e-16 ***
iis86 5.4964e+01 5.7043e+00 9.6356 < 2.2e-16 ***
iis87 6.1724e+01 5.4503e+00 11.3249 < 2.2e-16 ***
iis88 5.3549e+01 5.3744e+00 9.9637 < 2.2e-16 ***
iis89 5.4285e+01 5.2887e+00 10.2644 < 2.2e-16 ***
iis91 2.9160e+01 4.9971e+00 5.8354 7.628e-09 ***
iis92 3.0247e+01 4.9930e+00 6.0578 2.071e-09 ***
iis94 1.8055e+01 4.9454e+00 3.6509 0.0002773 ***
iis117 1.0055e+01 4.8204e+00 2.0859 0.0372869 *
iis144 -1.1447e+01 4.7911e+00 -2.3891 0.0171051 *
iis201 2.7376e+01 4.6358e+00 5.9052 5.090e-09 ***
iis265 1.4115e+01 4.6332e+00 3.0464 0.0023874 **
iis405 3.1035e+01 4.8684e+00 6.3747 3.005e-10 ***
iis407 4.4265e+01 4.7111e+00 9.3957 < 2.2e-16 ***
iis427 1.2523e+01 5.2280e+00 2.3954 0.0168186 *
iis431 -1.4638e+01 4.8945e+00 -2.9906 0.0028645 **
iis583 2.4263e+01 4.6402e+00 5.2288 2.150e-07 ***
iis584 -1.4323e+01 4.6562e+00 -3.0762 0.0021641 **
iis622 -1.9669e+01 4.6950e+00 -4.1894 3.090e-05 ***
iis624 -2.7972e+01 4.6917e+00 -5.9619 3.653e-09 ***
iis672 1.9675e+01 4.6473e+00 4.2337 2.550e-05 ***
iis678 2.4386e+01 4.6496e+00 5.2448 1.976e-07 ***
iis679 -1.5524e+01 4.6588e+00 -3.3322 0.0008989 ***
iis705 2.1179e+01 4.6317e+00 4.5727 5.531e-06 ***
iis729 3.1162e+01 4.6393e+00 6.7169 3.398e-11 ***
iis732 2.6304e+01 4.6417e+00 5.6670 1.990e-08 ***
iis777 2.0360e+01 4.6307e+00 4.3966 1.239e-05 ***
iis826 1.2058e+01 5.2072e+00 2.3157 0.0208114 *
iis828 -2.3012e+01 5.2241e+00 -4.4049 1.194e-05 ***
iis835 -1.6329e+01 4.8697e+00 -3.3532 0.0008343 ***
iis902 2.1239e+01 4.6406e+00 4.5767 5.428e-06 ***
iis904 2.0523e+01 4.6416e+00 4.4216 1.107e-05 ***
fesisArizona.2010 1.9357e+01 4.7545e+00 4.0713 5.111e-05 ***
fesisArizona.2011 -1.9690e+01 4.7529e+00 -4.1428 3.774e-05 ***
fesisCalifornia.2002 1.6342e+01 5.3450e+00 3.0574 0.0023029 **
fesisConnecticut.2009 -9.5801e+00 2.1867e+00 -4.3810 1.329e-05 ***
fesisDelaware.2011 -4.5929e+00 2.1447e+00 -2.1415 0.0325194 *
fesisMassachusetts.2008 6.9809e+00 2.3220e+00 3.0064 0.0027213 **
fesisMichigan.2009 1.2869e+01 3.1035e+00 4.1467 3.711e-05 ***
fesisMichigan.2013 -1.5214e+01 3.2257e+00 -4.7165 2.805e-06 ***
fesisNewYork.2003 -2.2646e+01 5.5320e+00 -4.0937 4.651e-05 ***
fesisNewYork.2004 2.0351e+01 4.6927e+00 4.3369 1.619e-05 ***
fesisNewYork.2018 -1.8961e+01 3.4493e+00 -5.4970 5.112e-08 ***
fesisTexas.2008 2.2186e+01 3.1435e+00 7.0577 3.519e-12 ***
fesisTexas.2013 -1.3505e+01 3.1887e+00 -4.2353 2.532e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 16.492 1 4.885e-05 ***
Ljung-Box ARCH(1) 28.965 1 7.371e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.46179
R-squared 0.98688
Log-lik.(n=969) -2764.14002 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:18:50 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 855
Sample: 1 to 855
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.5100e-01 1.9048e-02 28.9274 < 2.2e-16 ***
lgdp 6.1237e+03 1.4993e+04 0.4084 0.6830701
lpop -5.0625e+03 1.2448e+04 -0.4067 0.6843539
lgdp_sq -2.1367e+02 5.2185e+02 -0.4095 0.6823236
avg_temp 1.4873e+00 7.6840e+00 0.1936 0.8465785
idArizona 8.4349e+00 1.5736e+00 5.3603 1.111e-07 ***
idArkansas -5.9940e-01 1.5368e+00 -0.3900 0.6966208
idCalifornia 5.6796e+01 5.0796e+00 11.1811 < 2.2e-16 ***
idColorado 8.0046e+00 2.2566e+00 3.5472 0.0004139 ***
idConnecticut 2.1066e+01 2.2544e+00 9.3444 < 2.2e-16 ***
idDelaware 5.6962e+00 1.5730e+00 3.6213 0.0003131 ***
idDistrictofColumbia 2.0668e-01 1.5367e+00 0.1345 0.8930477
idFlorida 1.3566e+01 1.6319e+00 8.3128 4.464e-16 ***
idGeorgia 4.4790e+00 1.5818e+00 2.8315 0.0047582 **
idHawaii -2.0955e-01 1.5367e+00 -0.1364 0.8915699
idIdaho 3.6236e-01 1.5368e+00 0.2358 0.8136657
idIllinois 1.2445e+01 1.6516e+00 7.5352 1.426e-13 ***
idIndiana 3.0497e+00 1.5418e+00 1.9780 0.0482985 *
idIowa 2.5194e-01 1.5368e+00 0.1639 0.8698218
idKansas -3.2354e-01 1.5367e+00 -0.2105 0.8333004
idKentucky 4.5118e-02 1.5367e+00 0.0294 0.9765853
idLouisiana 7.9576e-02 1.5367e+00 0.0518 0.9587146
idMaine 8.0464e-02 1.5367e+00 0.0524 0.9582549
idMaryland 4.7511e+00 1.5496e+00 3.0659 0.0022488 **
idMassachusetts 2.0159e+01 2.4165e+00 8.3421 3.560e-16 ***
idMichigan 1.9849e+01 1.9557e+00 10.1490 < 2.2e-16 ***
idMinnesota 1.0653e+01 1.5988e+00 6.6633 5.230e-11 ***
idMissouri 1.7251e+00 1.5388e+00 1.1211 0.2626122
idNebraska -4.7235e-01 1.5368e+00 -0.3074 0.7586582
idNevada 1.6394e+00 1.5387e+00 1.0655 0.2870131
idNewHampshire 2.4152e+00 1.5403e+00 1.5680 0.1173153
idNewJersey 1.0979e+01 1.6521e+00 6.6454 5.866e-11 ***
idNewMexico 2.9816e+00 1.5424e+00 1.9331 0.0536034 .
idNewYork 4.3010e+01 3.7479e+00 11.4756 < 2.2e-16 ***
idNorthCarolina 1.2045e+01 1.6097e+00 7.4826 2.072e-13 ***
idOhio 1.7525e+01 1.7495e+00 10.0169 < 2.2e-16 ***
idOklahoma 1.0686e+00 1.5375e+00 0.6950 0.4872523
idOregon 4.7381e+00 1.5794e+00 2.9999 0.0027916 **
idPennsylvania 1.6755e+01 1.7736e+00 9.4473 < 2.2e-16 ***
idRhodeIsland 6.8028e-01 1.5373e+00 0.4425 0.6582390
idSouthCarolina 8.3334e+00 1.6004e+00 5.2069 2.490e-07 ***
idSouthDakota -1.8045e-01 1.5367e+00 -0.1174 0.9065537
idTennessee 2.6198e+00 1.5400e+00 1.7012 0.0893337 .
idTexas 1.5017e+01 2.1935e+00 6.8460 1.596e-11 ***
idUtah 2.0828e+00 1.5399e+00 1.3525 0.1766254
idVermont -1.4149e-01 1.5367e+00 -0.0921 0.9266630
idVirginia 8.1414e+00 1.5706e+00 5.1837 2.809e-07 ***
idWashington 9.2222e+00 2.0410e+00 4.5185 7.248e-06 ***
idWisconsin 7.9701e+00 1.5711e+00 5.0730 4.956e-07 ***
time2001 -2.2471e+02 5.3430e+02 -0.4206 0.6741938
time2002 -2.3384e+02 5.6161e+02 -0.4164 0.6772629
time2003 -2.3532e+02 5.6248e+02 -0.4184 0.6758040
time2004 -2.6984e+02 6.5255e+02 -0.4135 0.6793474
time2005 -2.6530e+02 6.4793e+02 -0.4095 0.6823227
time2006 -2.1591e+02 5.3072e+02 -0.4068 0.6842542
time2007 -1.7588e+02 4.3581e+02 -0.4036 0.6866425
time2008 -1.1431e+02 2.7975e+02 -0.4086 0.6829415
time2009 -3.7615e+01 9.5212e+01 -0.3951 0.6929048
time2010 -2.8519e+01 7.2007e+01 -0.3961 0.6921727
time2011 -3.1701e+01 8.0299e+01 -0.3948 0.6931174
time2012 -2.3364e+01 6.4804e+01 -0.3605 0.7185476
time2013 -1.5536e+01 3.4425e+01 -0.4513 0.6519098
time2014 1.3233e+00 1.9371e+01 0.0683 0.9455528
time2015 4.7555e+00 1.0067e+01 0.4724 0.6368065
iis59 -3.5470e+01 5.5219e+00 -6.4236 2.381e-10 ***
iis60 -3.0527e+01 5.5618e+00 -5.4887 5.567e-08 ***
iis63 8.3857e+01 5.3021e+00 15.8157 < 2.2e-16 ***
iis64 6.4102e+01 5.3374e+00 12.0099 < 2.2e-16 ***
iis65 9.5568e+01 5.4742e+00 17.4578 < 2.2e-16 ***
iis66 1.0214e+02 5.7861e+00 17.6517 < 2.2e-16 ***
iis67 5.1653e+01 6.0785e+00 8.4977 < 2.2e-16 ***
iis68 5.9687e+01 5.7990e+00 10.2926 < 2.2e-16 ***
iis69 5.1368e+01 5.7181e+00 8.9834 < 2.2e-16 ***
iis70 5.2806e+01 5.6302e+00 9.3791 < 2.2e-16 ***
iis72 2.8594e+01 5.3143e+00 5.3806 9.970e-08 ***
iis73 2.9877e+01 5.3096e+00 5.6270 2.602e-08 ***
iis75 1.7896e+01 5.2579e+00 3.4037 0.0007005 ***
iis98 1.0415e+01 5.1238e+00 2.0327 0.0424420 *
iis125 -1.4435e+01 4.9299e+00 -2.9281 0.0035151 **
iis182 2.7145e+01 4.9297e+00 5.5065 5.053e-08 ***
iis246 1.4391e+01 4.9257e+00 2.9216 0.0035881 **
iis386 3.1024e+01 5.1754e+00 5.9946 3.187e-09 ***
iis388 4.4311e+01 5.0103e+00 8.8440 < 2.2e-16 ***
iis408 2.1657e+01 5.0082e+00 4.3243 1.740e-05 ***
iis412 -1.5276e+01 5.2034e+00 -2.9358 0.0034297 **
iis526 2.4277e+01 4.9334e+00 4.9209 1.062e-06 ***
iis527 -1.4108e+01 4.9496e+00 -2.8503 0.0044894 **
iis555 2.8097e+01 5.8754e+00 4.7822 2.093e-06 ***
iis565 -2.0238e+01 5.0290e+00 -4.0243 6.301e-05 ***
iis567 -2.8573e+01 5.0256e+00 -5.6855 1.877e-08 ***
iis597 -9.9984e+00 4.9569e+00 -2.0171 0.0440498 *
iis602 2.2730e+01 4.9432e+00 4.5982 5.012e-06 ***
iis603 -1.7007e+01 4.9539e+00 -3.4330 0.0006302 ***
iis629 2.1574e+01 4.9239e+00 4.3814 1.350e-05 ***
iis653 3.0826e+01 4.9314e+00 6.2510 6.888e-10 ***
iis656 2.4924e+01 4.9341e+00 5.0513 5.533e-07 ***
iis701 2.0596e+01 4.9226e+00 4.1841 3.207e-05 ***
iis750 1.3030e+01 5.8722e+00 2.2189 0.0267979 *
iis752 -1.2364e+01 5.1470e+00 -2.4022 0.0165435 *
iis759 -1.8387e+01 5.1240e+00 -3.5885 0.0003545 ***
iis826 3.1051e+01 6.7898e+00 4.5732 5.631e-06 ***
iis828 1.9843e+01 5.0878e+00 3.9001 0.0001049 ***
fesisCalifornia.2002 1.4783e+01 5.6921e+00 2.5971 0.0095893 **
fesisColorado.2007 1.6275e+01 3.9156e+00 4.1564 3.611e-05 ***
fesisColorado.2009 -1.0656e+01 3.6915e+00 -2.8866 0.0040072 **
fesisConnecticut.2009 -9.5891e+00 2.3268e+00 -4.1211 4.198e-05 ***
fesisMassachusetts.2008 6.5441e+00 2.4675e+00 2.6521 0.0081714 **
fesisMichigan.2013 -5.3757e+00 2.4359e+00 -2.2068 0.0276334 *
fesisNewYork.2003 -2.2836e+01 4.8089e+00 -4.7488 2.458e-06 ***
fesisNewYork.2006 2.0888e+01 3.7135e+00 5.6249 2.633e-08 ***
fesisNewYork.2018 -1.9458e+01 3.7190e+00 -5.2321 2.184e-07 ***
fesisTexas.2008 2.0458e+01 3.8718e+00 5.2840 1.664e-07 ***
fesisTexas.2011 -9.9111e+00 3.8445e+00 -2.5780 0.0101300 *
fesisWashington.2009 -1.1102e+01 5.0983e+00 -2.1776 0.0297485 *
fesisWashington.2011 1.0573e+01 5.0906e+00 2.0770 0.0381449 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 20.716 1 5.326e-06 ***
Ljung-Box ARCH(1) 13.339 1 0.00026 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.73637
R-squared 0.98659
Log-lik.(n=855) -2485.44960 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 01:19:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 684
Sample: 1 to 684
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.2468e-01 2.1891e-02 23.9677 < 2.2e-16 ***
lgdp -5.1913e+03 7.8352e+03 -0.6626 0.5078765
lpop 5.0396e+03 7.6395e+03 0.6597 0.5097217
lgdp_sq 1.2609e+02 1.8888e+02 0.6675 0.5046880
avg_temp 1.2626e+01 1.7775e+01 0.7103 0.4777717
idCalifornia 5.0554e+01 5.6593e+00 8.9329 < 2.2e-16 ***
idColorado 4.7832e+00 1.7416e+00 2.7465 0.0062071 **
idConnecticut 1.4716e+01 2.3265e+00 6.3253 4.998e-10 ***
idDelaware -3.6592e+00 1.7345e+00 -2.1096 0.0353107 *
idDistrictofColumbia -8.6845e+00 1.7705e+00 -4.9050 1.210e-06 ***
idFlorida 5.4221e+00 1.7462e+00 3.1051 0.0019935 **
idGeorgia -4.0548e+00 1.7555e+00 -2.3098 0.0212462 *
idIdaho -8.5121e+00 1.7676e+00 -4.8156 1.867e-06 ***
idIllinois 5.0494e+00 1.7452e+00 2.8934 0.0039517 **
idIndiana -5.6795e+00 1.7466e+00 -3.2517 0.0012125 **
idIowa -8.6262e+00 1.7682e+00 -4.8784 1.378e-06 ***
idKentucky -8.8465e+00 1.7706e+00 -4.9963 7.712e-07 ***
idMaryland -3.8755e+00 1.7367e+00 -2.2315 0.0260216 *
idMassachusetts 1.2900e+01 2.6150e+00 4.9332 1.053e-06 ***
idMichigan 1.0192e+01 1.8383e+00 5.5441 4.461e-08 ***
idMinnesota 2.3603e+00 1.7334e+00 1.3617 0.1738211
idMissouri -7.0671e+00 1.7547e+00 -4.0275 6.374e-05 ***
idNevada -7.1559e+00 1.7552e+00 -4.0771 5.187e-05 ***
idNewHampshire -6.3413e+00 1.7499e+00 -3.6237 0.0003154 ***
idNewJersey 2.0182e+00 1.7637e+00 1.1443 0.2529585
idNewMexico -5.7386e+00 1.7456e+00 -3.2875 0.0010708 **
idNewYork 3.5981e+01 2.3237e+00 15.4843 < 2.2e-16 ***
idNorthCarolina 3.8041e+00 1.7369e+00 2.1902 0.0289032 *
idOhio 6.0636e+00 1.8683e+00 3.2455 0.0012387 **
idOklahoma -7.7670e+00 1.7612e+00 -4.4101 1.228e-05 ***
idOregon -3.8314e+00 1.7566e+00 -2.1811 0.0295675 *
idPennsylvania 8.6807e+00 2.3056e+00 3.7651 0.0001832 ***
idRhodeIsland -8.1637e+00 1.7625e+00 -4.6318 4.463e-06 ***
idSouthCarolina -9.3513e-02 1.7542e+00 -0.0533 0.9575036
idTennessee -6.1430e+00 1.7508e+00 -3.5088 0.0004845 ***
idTexas 7.2212e+00 2.3996e+00 3.0094 0.0027296 **
idUtah -6.6816e+00 1.7510e+00 -3.8160 0.0001500 ***
idVirginia -3.1320e-01 1.7294e+00 -0.1811 0.8563504
idWashington 1.1837e+00 1.7584e+00 0.6732 0.5011071
idWisconsin -4.8119e-01 1.7294e+00 -0.2782 0.7809251
time2001 7.5602e+02 1.1410e+03 0.6626 0.5078462
time2002 7.1380e+02 1.0757e+03 0.6636 0.5072338
time2003 7.2213e+02 1.0904e+03 0.6623 0.5080425
time2004 7.0215e+02 1.0579e+03 0.6637 0.5071363
time2005 6.7756e+02 1.0198e+03 0.6644 0.5066863
time2006 6.0723e+02 9.1277e+02 0.6653 0.5061434
time2007 5.5262e+02 8.3062e+02 0.6653 0.5061116
time2008 4.5845e+02 6.8414e+02 0.6701 0.5030470
time2009 2.2817e+02 3.2927e+02 0.6930 0.4886002
time2010 2.0774e+02 2.9893e+02 0.6949 0.4873706
time2011 1.9977e+02 2.9112e+02 0.6862 0.4928411
time2012 1.5461e+02 2.2363e+02 0.6914 0.4896075
time2013 1.2963e+02 1.8562e+02 0.6984 0.4852122
time2014 5.2910e+01 8.0728e+01 0.6554 0.5124617
time2015 2.8577e+01 3.7540e+01 0.7612 0.4468167
iis21 -3.7958e+01 6.2295e+00 -6.0932 1.999e-09 ***
iis22 -3.3224e+01 6.2813e+00 -5.2893 1.733e-07 ***
iis25 8.1944e+01 5.9853e+00 13.6910 < 2.2e-16 ***
iis26 6.5130e+01 6.0277e+00 10.8051 < 2.2e-16 ***
iis27 9.6625e+01 6.1783e+00 15.6393 < 2.2e-16 ***
iis28 1.0342e+02 6.5344e+00 15.8267 < 2.2e-16 ***
iis29 5.4562e+01 6.8622e+00 7.9511 9.453e-15 ***
iis30 6.2663e+01 6.5324e+00 9.5927 < 2.2e-16 ***
iis31 5.2977e+01 6.4615e+00 8.1988 1.520e-15 ***
iis32 5.4410e+01 6.3569e+00 8.5592 < 2.2e-16 ***
iis34 2.9042e+01 5.9990e+00 4.8411 1.651e-06 ***
iis35 3.1096e+01 5.9944e+00 5.1875 2.935e-07 ***
iis37 1.7860e+01 5.9320e+00 3.0108 0.0027172 **
iis144 2.7021e+01 5.5654e+00 4.8551 1.543e-06 ***
iis272 3.0274e+01 5.8417e+00 5.1823 3.013e-07 ***
iis274 4.3649e+01 5.6532e+00 7.7211 4.962e-14 ***
iis294 2.1792e+01 5.5668e+00 3.9147 0.0001011 ***
iis298 -1.8944e+01 5.5919e+00 -3.3876 0.0007519 ***
iis393 2.4282e+01 5.5625e+00 4.3652 1.499e-05 ***
iis421 -2.2275e+01 5.6336e+00 -3.9539 8.622e-05 ***
iis423 -2.2226e+01 5.6354e+00 -3.9440 8.977e-05 ***
iis430 -1.5479e+01 5.6584e+00 -2.7356 0.0064136 **
iis432 -2.0547e+01 5.6322e+00 -3.6481 0.0002875 ***
iis434 -2.9687e+01 5.6309e+00 -5.2721 1.895e-07 ***
iis463 2.1462e+01 5.5778e+00 3.8477 0.0001322 ***
iis469 2.5394e+01 5.5845e+00 4.5472 6.599e-06 ***
iis473 1.6396e+01 5.5775e+00 2.9396 0.0034153 **
iis496 2.1983e+01 5.5576e+00 3.9554 8.570e-05 ***
iis520 3.1294e+01 5.7391e+00 5.4528 7.301e-08 ***
iis568 2.1223e+01 5.5580e+00 3.8185 0.0001485 ***
iis657 1.9055e+01 5.5616e+00 3.4262 0.0006546 ***
fesisCalifornia.2002 1.7475e+01 6.4245e+00 2.7201 0.0067189 **
fesisConnecticut.2009 -1.1397e+01 2.5282e+00 -4.5079 7.900e-06 ***
fesisMassachusetts.2008 6.6104e+00 2.7774e+00 2.3800 0.0176280 *
fesisNewYork.2018 -2.1216e+01 4.1325e+00 -5.1338 3.861e-07 ***
fesisPennsylvania.2010 2.4576e+01 5.7405e+00 4.2812 2.170e-05 ***
fesisPennsylvania.2011 -2.3984e+01 5.7020e+00 -4.2062 3.001e-05 ***
fesisTexas.2008 2.4159e+01 3.7592e+00 6.4268 2.689e-10 ***
fesisTexas.2011 -1.6495e+01 3.6088e+00 -4.5708 5.922e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 17.4739 1 2.913e-05 ***
Ljung-Box ARCH(1) 7.2094 1 0.007252 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.33025
R-squared 0.98538
Log-lik.(n=684) -2068.15822 Analysis with IIS = FALSE
AR(0)
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:30:05 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.061649 1.132918 -0.0544 0.9566148
lpop 0.194826 0.482437 0.4038 0.6864219
lgdp_sq 0.011080 0.048550 0.2282 0.8195277
avg_temp 0.013476 0.014290 0.9430 0.3459042
idAlaska 0.313715 0.943623 0.3325 0.7396157
idArizona 1.884389 0.166464 11.3201 < 2.2e-16 ***
idArkansas -0.578001 0.433517 -1.3333 0.1827548
idCalifornia 3.364432 0.871464 3.8607 0.0001206 ***
idColorado 2.455726 0.289431 8.4847 < 2.2e-16 ***
idConnecticut 3.178886 0.312085 10.1860 < 2.2e-16 ***
idDelaware 2.466720 0.705018 3.4988 0.0004888 ***
idDistrictofColumbia 0.672044 0.929781 0.7228 0.4699800
idFlorida 1.706230 0.567436 3.0069 0.0027078 **
idGeorgia 1.424375 0.305407 4.6639 3.542e-06 ***
idHawaii -0.702949 0.674962 -1.0415 0.2979218
idIdaho 1.024582 0.536053 1.9113 0.0562575 .
idIllinois 2.126726 0.455495 4.6690 3.456e-06 ***
idIndiana 1.229981 0.237696 5.1746 2.781e-07 ***
idIowa 0.634411 0.305442 2.0770 0.0380643 *
idKansas 0.317729 0.266834 1.1907 0.2340513
idKentucky 0.293179 0.159624 1.8367 0.0665651 .
idLouisiana 0.184478 0.173989 1.0603 0.2892818
idMaine 0.465942 0.604032 0.7714 0.4406676
idMaryland 1.557398 0.206128 7.5555 9.708e-14 ***
idMassachusetts 3.099697 0.310944 9.9687 < 2.2e-16 ***
idMichigan 2.563073 0.413448 6.1993 8.409e-10 ***
idMinnesota 2.398794 0.348580 6.8816 1.066e-11 ***
idMississippi 0.417971 0.268638 1.5559 0.1200638
idMissouri 0.904678 0.192807 4.6921 3.095e-06 ***
idMontana 0.315439 0.703074 0.4487 0.6537799
idNebraska -0.191548 0.449602 -0.4260 0.6701746
idNevada 1.560308 0.346341 4.5051 7.449e-06 ***
idNewHampshire 1.884369 0.590944 3.1887 0.0014752 **
idNewJersey 2.121470 0.330133 6.4261 2.057e-10 ***
idNewMexico 1.722869 0.377712 4.5613 5.740e-06 ***
idNewYork 2.898083 0.666365 4.3491 1.513e-05 ***
idNorthCarolina 2.064950 0.303099 6.8128 1.687e-11 ***
idNorthDakota 0.169969 0.845401 0.2011 0.8407012
idOhio 2.433446 0.414144 5.8759 5.795e-09 ***
idOklahoma 0.783006 0.158802 4.9307 9.649e-07 ***
idOregon 2.675261 0.316957 8.4405 < 2.2e-16 ***
idPennsylvania 2.454411 0.461755 5.3154 1.323e-07 ***
idRhodeIsland 1.927185 0.630145 3.0583 0.0022875 **
idSouthCarolina 1.434978 0.159726 8.9840 < 2.2e-16 ***
idSouthDakota -0.087647 0.779386 -0.1125 0.9104848
idTennessee 0.452006 0.232940 1.9404 0.0526188 .
idTexas 2.080235 0.691526 3.0082 0.0026967 **
idUtah 1.322927 0.320530 4.1273 3.989e-05 ***
idVermont 0.999450 0.875279 1.1419 0.2537947
idVirginia 1.729118 0.275566 6.2748 5.288e-10 ***
idWashington 2.207656 0.318501 6.9314 7.633e-12 ***
idWestVirginia 0.040559 0.416997 0.0973 0.9225361
idWisconsin 2.128816 0.316961 6.7163 3.185e-11 ***
idWyoming 1.392814 0.967306 1.4399 0.1502242
time2000 -2.376439 7.856053 -0.3025 0.7623380
time2001 -2.371724 7.859731 -0.3018 0.7629031
time2002 -2.192911 7.861131 -0.2790 0.7803385
time2003 -2.078553 7.859477 -0.2645 0.7914787
time2004 -2.118517 7.860969 -0.2695 0.7876042
time2005 -1.830369 7.863226 -0.2328 0.8159851
time2006 -1.714326 7.866688 -0.2179 0.8275360
time2007 -1.505367 7.866170 -0.1914 0.8482743
time2008 -1.471943 7.864182 -0.1872 0.8515664
time2009 -1.207046 7.867217 -0.1534 0.8780935
time2010 -1.281029 7.870852 -0.1628 0.8707447
time2011 -1.288497 7.872114 -0.1637 0.8700185
time2012 -1.328609 7.877274 -0.1687 0.8660968
time2013 -1.395031 7.869955 -0.1773 0.8593412
time2014 -1.664083 7.868938 -0.2115 0.8325615
time2015 -1.685088 7.874416 -0.2140 0.8305961
time2016 -1.779790 7.876807 -0.2260 0.8212858
time2017 -1.818188 7.875197 -0.2309 0.8174608
time2018 -1.779266 7.872309 -0.2260 0.8212372
time2019 -1.931548 7.870203 -0.2454 0.8061794
time2020 -2.885415 7.877449 -0.3663 0.7142308
fesisAlaska.2007 -1.197016 0.207075 -5.7806 1.006e-08 ***
fesisAlaska.2014 0.767837 0.210252 3.6520 0.0002743 ***
fesisArkansas.2001 1.766995 0.536923 3.2910 0.0010348 **
fesisArkansas.2002 -1.954857 0.405997 -4.8150 1.710e-06 ***
fesisArkansas.2009 0.763381 0.181685 4.2017 2.896e-05 ***
fesisConnecticut.2009 -0.621325 0.170687 -3.6401 0.0002870 ***
fesisDelaware.2014 -0.823348 0.190644 -4.3188 1.732e-05 ***
fesisDelaware.2020 -1.226094 0.410662 -2.9857 0.0029014 **
fesisDistrictofColumbia.2008 -1.053840 0.258050 -4.0839 4.798e-05 ***
fesisDistrictofColumbia.2011 1.463137 0.253937 5.7618 1.120e-08 ***
fesisHawaii.2001 1.383627 0.402996 3.4333 0.0006216 ***
fesisHawaii.2009 -0.879349 0.197386 -4.4550 9.376e-06 ***
fesisHawaii.2016 1.532379 0.406449 3.7702 0.0001731 ***
fesisHawaii.2017 -2.598673 0.465464 -5.5830 3.076e-08 ***
fesisHawaii.2019 1.533825 0.380475 4.0313 5.985e-05 ***
fesisLouisiana.2011 -0.857521 0.222945 -3.8463 0.0001278 ***
fesisLouisiana.2015 1.083650 0.246365 4.3986 1.211e-05 ***
fesisMaine.2008 0.684599 0.174043 3.9335 8.973e-05 ***
fesisMississippi.2004 -1.410764 0.214021 -6.5917 7.160e-11 ***
fesisMississippi.2020 1.524186 0.392440 3.8839 0.0001098 ***
fesisNebraska.2012 0.843101 0.169344 4.9786 7.588e-07 ***
fesisNevada.2012 -0.762663 0.191126 -3.9904 7.099e-05 ***
fesisNevada.2019 1.052025 0.305570 3.4428 0.0006005 ***
fesisOregon.2004 -0.752746 0.211845 -3.5533 0.0003989 ***
fesisRhodeIsland.2005 -0.835086 0.199046 -4.1954 2.976e-05 ***
fesisSouthCarolina.2008 0.802415 0.173963 4.6126 4.515e-06 ***
fesisSouthDakota.2004 1.709089 0.424820 4.0231 6.195e-05 ***
fesisSouthDakota.2005 -1.843679 0.438508 -4.2044 2.862e-05 ***
fesisSouthDakota.2008 1.334163 0.249943 5.3379 1.174e-07 ***
fesisSouthDakota.2019 -1.245438 0.293283 -4.2465 2.382e-05 ***
fesisTennessee.2005 0.596106 0.195302 3.0522 0.0023340 **
fesisWestVirginia.2013 -0.586923 0.174400 -3.3654 0.0007946 ***
fesisWyoming.2003 -0.810070 0.246337 -3.2885 0.0010439 **
fesisWyoming.2017 -0.918568 0.245028 -3.7488 0.0001883 ***
fesisWyoming.2020 1.930376 0.438678 4.4004 1.201e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 4.4027 1 0.03588 *
Ljung-Box ARCH(1) 6.0908 1 0.01359 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.37585
R-squared 0.93807
Log-lik.(n=1071) -416.63835 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:28:56 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 1.665732 1.641261 1.0149 0.3104407
lpop 0.279564 0.488382 0.5724 0.5671844
lgdp_sq -0.050609 0.061939 -0.8171 0.4141135
avg_temp 0.022777 0.014838 1.5350 0.1251535
idArizona 1.804344 0.165338 10.9131 < 2.2e-16 ***
idArkansas -0.336330 0.416707 -0.8071 0.4198286
idCalifornia 3.034670 0.849675 3.5716 0.0003750 ***
idColorado 2.526593 0.303768 8.3175 3.601e-16 ***
idConnecticut 3.273324 0.325036 10.0707 < 2.2e-16 ***
idDelaware 3.015868 0.693604 4.3481 1.541e-05 ***
idDistrictofColumbia 1.089592 0.911938 1.1948 0.2324987
idFlorida 1.309242 0.559839 2.3386 0.0195893 *
idGeorgia 1.199531 0.309946 3.8701 0.0001172 ***
idHawaii -0.383561 0.665022 -0.5768 0.5642524
idIdaho 1.648518 0.563888 2.9235 0.0035542 **
idIllinois 1.944450 0.460611 4.2215 2.692e-05 ***
idIndiana 1.210057 0.244171 4.9558 8.713e-07 ***
idIowa 0.862241 0.305764 2.8200 0.0049160 **
idKansas 0.514751 0.261482 1.9686 0.0493281 *
idKentucky 0.381868 0.156037 2.4473 0.0145968 *
idLouisiana 0.103459 0.178952 0.5781 0.5633275
idMaine 1.260994 0.624273 2.0199 0.0437062 *
idMaryland 1.508411 0.221613 6.8065 1.900e-11 ***
idMassachusetts 3.058496 0.334184 9.1521 < 2.2e-16 ***
idMichigan 2.515807 0.418140 6.0167 2.655e-09 ***
idMinnesota 2.498154 0.364829 6.8475 1.450e-11 ***
idMissouri 0.883930 0.196558 4.4970 7.858e-06 ***
idNebraska 0.830388 0.496771 1.6716 0.0949811 .
idNevada 1.827831 0.341542 5.3517 1.124e-07 ***
idNewHampshire 2.469418 0.596166 4.1422 3.788e-05 ***
idNewJersey 1.987836 0.345514 5.7533 1.225e-08 ***
idNewMexico 2.094055 0.382785 5.4706 5.920e-08 ***
idNewYork 2.724350 0.664350 4.1008 4.517e-05 ***
idNorthCarolina 1.890256 0.306183 6.1736 1.037e-09 ***
idOhio 2.288710 0.416747 5.4918 5.271e-08 ***
idOklahoma 0.862790 0.151587 5.6917 1.737e-08 ***
idOregon 2.889575 0.312729 9.2399 < 2.2e-16 ***
idPennsylvania 2.310772 0.464662 4.9730 7.992e-07 ***
idRhodeIsland 2.585729 0.644555 4.0117 6.566e-05 ***
idSouthCarolina 1.469230 0.148248 9.9106 < 2.2e-16 ***
idSouthDakota 0.810304 0.819706 0.9885 0.3231774
idTennessee 0.403322 0.227787 1.7706 0.0769884 .
idTexas 1.703201 0.679257 2.5074 0.0123481 *
idUtah 1.749746 0.331141 5.2840 1.611e-07 ***
idVermont 2.023567 0.925567 2.1863 0.0290686 *
idVirginia 1.604149 0.288169 5.5667 3.492e-08 ***
idWashington 2.192815 0.336494 6.5167 1.237e-10 ***
idWisconsin 2.217241 0.327705 6.7660 2.480e-11 ***
time2000 -15.530364 10.877328 -1.4278 0.1537282
time2001 -15.529703 10.880815 -1.4273 0.1538774
time2002 -15.327191 10.884486 -1.4082 0.1594507
time2003 -15.261818 10.887512 -1.4018 0.1613521
time2004 -15.295402 10.894036 -1.4040 0.1606832
time2005 -14.995620 10.898516 -1.3759 0.1692089
time2006 -14.950873 10.903959 -1.3711 0.1706965
time2007 -14.690469 10.904348 -1.3472 0.1782748
time2008 -14.631684 10.901416 -1.3422 0.1798992
time2009 -14.390720 10.898738 -1.3204 0.1870599
time2010 -14.481209 10.904408 -1.3280 0.1845337
time2011 -14.485593 10.906423 -1.3282 0.1844820
time2012 -14.538501 10.911321 -1.3324 0.1830820
time2013 -14.575218 10.905490 -1.3365 0.1817465
time2014 -14.868056 10.907576 -1.3631 0.1732176
time2015 -14.856679 10.914369 -1.3612 0.1738140
time2016 -14.936152 10.916821 -1.3682 0.1716218
time2017 -14.981999 10.917283 -1.3723 0.1703299
time2018 -14.952630 10.917992 -1.3695 0.1711960
time2019 -15.118864 10.919237 -1.3846 0.1665396
time2020 -16.180257 10.920149 -1.4817 0.1387978
fesisArkansas.2001 1.768144 0.497690 3.5527 0.0004025 ***
fesisArkansas.2002 -1.966064 0.406566 -4.8358 1.577e-06 ***
fesisArkansas.2005 1.368112 0.406916 3.3621 0.0008083 ***
fesisArkansas.2006 -1.854858 0.406502 -4.5630 5.794e-06 ***
fesisArkansas.2009 1.562872 0.249030 6.2758 5.563e-10 ***
fesisArkansas.2015 -0.681447 0.203809 -3.3436 0.0008637 ***
fesisConnecticut.2009 -0.620051 0.158899 -3.9022 0.0001029 ***
fesisDelaware.2014 -1.023051 0.170441 -6.0024 2.889e-09 ***
fesisDistrictofColumbia.2008 -1.090616 0.240594 -4.5330 6.658e-06 ***
fesisDistrictofColumbia.2011 1.430238 0.236199 6.0552 2.112e-09 ***
fesisHawaii.2001 1.619259 0.393618 4.1138 4.275e-05 ***
fesisHawaii.2005 -0.816089 0.211604 -3.8567 0.0001237 ***
fesisHawaii.2015 -1.465050 0.369470 -3.9653 7.955e-05 ***
fesisHawaii.2016 2.568026 0.498202 5.1546 3.170e-07 ***
fesisHawaii.2017 -2.600755 0.431484 -6.0275 2.490e-09 ***
fesisHawaii.2019 1.621898 0.353468 4.5885 5.144e-06 ***
fesisLouisiana.2011 -0.842458 0.207014 -4.0696 5.154e-05 ***
fesisLouisiana.2015 1.066340 0.229241 4.6516 3.824e-06 ***
fesisMaine.2011 0.657771 0.157178 4.1849 3.153e-05 ***
fesisNebraska.2002 -1.057086 0.321529 -3.2877 0.0010521 **
fesisNebraska.2005 1.042875 0.287951 3.6217 0.0003102 ***
fesisNebraska.2008 -1.014154 0.270383 -3.7508 0.0001884 ***
fesisNebraska.2012 1.195737 0.213535 5.5997 2.907e-08 ***
fesisNevada.2012 -0.811263 0.179195 -4.5273 6.837e-06 ***
fesisNevada.2019 1.089674 0.283473 3.8440 0.0001302 ***
fesisOregon.2004 -0.794183 0.198027 -4.0105 6.598e-05 ***
fesisRhodeIsland.2005 -0.850651 0.185201 -4.5931 5.034e-06 ***
fesisSouthCarolina.2008 0.766448 0.161503 4.7457 2.441e-06 ***
fesisSouthDakota.2004 1.683179 0.394337 4.2684 2.193e-05 ***
fesisSouthDakota.2005 -1.865682 0.406905 -4.5851 5.228e-06 ***
fesisSouthDakota.2008 1.829494 0.291303 6.2804 5.410e-10 ***
fesisSouthDakota.2011 -0.783417 0.241281 -3.2469 0.0012129 **
fesisSouthDakota.2019 -0.999614 0.279801 -3.5726 0.0003736 ***
fesisTennessee.2005 0.577892 0.181022 3.1924 0.0014634 **
fesisUtah.2016 -0.620109 0.192070 -3.2286 0.0012924 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 5.3355 1 0.02090 *
Ljung-Box ARCH(1) 5.5700 1 0.01827 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.34789
R-squared 0.93645
Log-lik.(n=945) -291.10174 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:30:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.6953605 1.5617910 -1.7258 0.0848386 .
lpop 1.1293408 0.4532326 2.4917 0.0129506 *
lgdp_sq 0.1020854 0.0579379 1.7620 0.0785251 .
avg_temp 0.0026877 0.0136369 0.1971 0.8438161
idCalifornia 0.1498338 0.6626966 0.2261 0.8211943
idColorado 0.6322824 0.2400961 2.6335 0.0086457 **
idConnecticut 1.6278837 0.2955538 5.5079 5.167e-08 ***
idDelaware 1.6284347 0.6935029 2.3481 0.0191556 *
idDistrictofColumbia 0.5383809 0.8877129 0.6065 0.5443994
idFlorida -0.8095125 0.4085366 -1.9815 0.0479413 *
idGeorgia -0.6515928 0.1777033 -3.6667 0.0002650 ***
idIdaho -1.2000777 0.6310997 -1.9016 0.0576534 .
idIllinois -0.2436441 0.3008611 -0.8098 0.4183275
idIndiana -0.7333093 0.1508945 -4.8597 1.463e-06 ***
idIowa -1.6599683 0.3563098 -4.6588 3.833e-06 ***
idKentucky -1.5646170 0.1948379 -8.0304 4.330e-15 ***
idMaryland -0.2478292 0.1422846 -1.7418 0.0820015 .
idMassachusetts 1.1822966 0.2254156 5.2450 2.094e-07 ***
idMichigan 0.2316781 0.2862722 0.8093 0.4186317
idMinnesota 0.4957069 0.2894190 1.7128 0.0872149 .
idMissouri -1.7254797 0.2292627 -7.5262 1.676e-13 ***
idNevada 0.1820384 0.3631692 0.5012 0.6163590
idNewHampshire 0.6099581 0.5937170 1.0274 0.3046213
idNewJersey 0.0437926 0.2052524 0.2134 0.8311108
idNewMexico 0.3048251 0.4165898 0.7317 0.4645963
idNewYork 0.1370359 0.4867913 0.2815 0.7784067
idNorthCarolina -0.0559982 0.1677802 -0.3338 0.7386648
idOhio 0.0913851 0.2668571 0.3424 0.7321193
idOklahoma -0.8211391 0.1995617 -4.1147 4.356e-05 ***
idOregon 0.8543239 0.2950864 2.8952 0.0039120 **
idPennsylvania 0.0333165 0.3099501 0.1075 0.9144323
idRhodeIsland 0.6103609 0.6395455 0.9544 0.3402397
idSouthCarolina -0.2994562 0.1737187 -1.7238 0.0852019 .
idTennessee -1.5029794 0.1495645 -10.0490 < 2.2e-16 ***
idTexas -0.7039392 0.5064982 -1.3898 0.1650431
idUtah -0.1189611 0.3484339 -0.3414 0.7328962
idVirginia -0.6530567 0.1941860 -3.3630 0.0008144 ***
idWashington 0.2300043 0.2291638 1.0037 0.3158985
idWisconsin -0.0092992 0.2526414 -0.0368 0.9706491
time2000 10.7826788 10.0358456 1.0744 0.2830199
time2001 10.7896694 10.0387148 1.0748 0.2828457
time2002 11.0147230 10.0390879 1.0972 0.2729524
time2003 10.9653954 10.0408925 1.0921 0.2751903
time2004 11.0589367 10.0462709 1.1008 0.2713760
time2005 11.2275821 10.0510949 1.1171 0.2643701
time2006 11.4161726 10.0558721 1.1353 0.2566634
time2007 11.5060530 10.0559818 1.1442 0.2529463
time2008 11.5930357 10.0526767 1.1532 0.2492247
time2009 11.7837818 10.0490805 1.1726 0.2413607
time2010 11.8106571 10.0535921 1.1748 0.2405010
time2011 11.7588445 10.0552853 1.1694 0.2426475
time2012 11.7103677 10.0604606 1.1640 0.2448356
time2013 11.6693607 10.0546910 1.1606 0.2462195
time2014 11.3308054 10.0567411 1.1267 0.2602750
time2015 11.3982329 10.0633482 1.1326 0.2577642
time2016 11.2721971 10.0649974 1.1199 0.2631375
time2017 11.2608962 10.0654071 1.1188 0.2636354
time2018 11.2900023 10.0661105 1.1216 0.2624376
time2019 11.1156990 10.0671009 1.1042 0.2699168
time2020 10.0556271 10.0676188 0.9988 0.3182452
fesisConnecticut.2009 -0.5500835 0.1314143 -4.1859 3.217e-05 ***
fesisDelaware.2014 -0.8435612 0.1475366 -5.7176 1.622e-08 ***
fesisDelaware.2020 -1.1468817 0.3136219 -3.6569 0.0002752 ***
fesisDistrictofColumbia.2004 -1.2214990 0.3249766 -3.7587 0.0001856 ***
fesisDistrictofColumbia.2005 1.4189010 0.3347489 4.2387 2.561e-05 ***
fesisDistrictofColumbia.2008 -1.2234921 0.2376207 -5.1489 3.441e-07 ***
fesisDistrictofColumbia.2011 1.4074826 0.1950080 7.2176 1.429e-12 ***
fesisIdaho.2002 0.7847802 0.2234099 3.5127 0.0004731 ***
fesisIowa.2002 0.7889554 0.2210690 3.5688 0.0003840 ***
fesisKentucky.2006 -1.3092588 0.3132480 -4.1796 3.304e-05 ***
fesisKentucky.2007 1.5598833 0.3003317 5.1939 2.730e-07 ***
fesisMissouri.2002 0.8168386 0.2169168 3.7657 0.0001806 ***
fesisNevada.2010 -0.7961828 0.1459395 -5.4556 6.859e-08 ***
fesisNevada.2019 0.9754061 0.2277887 4.2821 2.120e-05 ***
fesisOregon.2004 -0.6524588 0.1642411 -3.9726 7.875e-05 ***
fesisRhodeIsland.2005 -0.6566693 0.1547231 -4.2442 2.501e-05 ***
fesisSouthCarolina.2008 0.8159603 0.1332976 6.1213 1.574e-09 ***
fesisTennessee.2005 0.6688121 0.1491858 4.4831 8.643e-06 ***
fesisUtah.2016 -0.4847051 0.1595176 -3.0386 0.0024689 **
fesisVirginia.2005 0.4899137 0.1492886 3.2817 0.0010851 **
fesisWisconsin.2014 0.5129090 0.1360323 3.7705 0.0001772 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.49817 1 0.480307
Ljung-Box ARCH(1) 9.43185 1 0.002132 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.28566
R-squared 0.94075
Log-lik.(n=756) -84.98971 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:21:53 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.8860075 0.9460102 -0.9366 0.3492124
lpop 0.6165832 0.4015566 1.5355 0.1249927
lgdp_sq 0.0371742 0.0405742 0.9162 0.3597892
avg_temp 0.0093611 0.0119885 0.7808 0.4350893
idAlaska 0.8893806 0.7883835 1.1281 0.2595550
idArizona 1.5464227 0.1383071 11.1811 < 2.2e-16 ***
idArkansas 0.0528088 0.2186252 0.2415 0.8091806
idCalifornia 2.4587777 0.7167673 3.4304 0.0006283 ***
idColorado 2.1413692 0.2418953 8.8525 < 2.2e-16 ***
idConnecticut 2.9531649 0.2615775 11.2898 < 2.2e-16 ***
idDelaware 2.6359313 0.5856336 4.5010 7.588e-06 ***
idDistrictofColumbia 1.4002812 0.7734388 1.8105 0.0705348 .
idFlorida 1.0846542 0.4693448 2.3110 0.0210428 *
idGeorgia 1.0196636 0.2524941 4.0384 5.809e-05 ***
idHawaii -0.0533453 0.5614349 -0.0950 0.9243219
idIdaho 1.0885853 0.4477124 2.4314 0.0152199 *
idIllinois 1.5748458 0.3746992 4.2030 2.879e-05 ***
idIndiana 0.9213812 0.1972973 4.6700 3.438e-06 ***
idIowa 0.6469785 0.2560936 2.5263 0.0116847 *
idKansas 0.4209105 0.2228645 1.8886 0.0592396 .
idKentucky 0.2516136 0.1340683 1.8768 0.0608526 .
idLouisiana 0.1888514 0.1463127 1.2907 0.1971034
idMaine 0.7830393 0.5007586 1.5637 0.1182141
idMaryland 1.2831942 0.1714970 7.4823 1.640e-13 ***
idMassachusetts 2.7221245 0.2579929 10.5512 < 2.2e-16 ***
idMichigan 2.0170840 0.3414529 5.9074 4.813e-09 ***
idMinnesota 2.0556804 0.2911844 7.0597 3.185e-12 ***
idMississippi 0.4738626 0.2243542 2.1121 0.0349325 *
idMissouri 0.6693651 0.1603544 4.1743 3.259e-05 ***
idMontana 0.6656306 0.5861887 1.1355 0.2564380
idNebraska 0.1660253 0.3751869 0.4425 0.6582167
idNevada 1.4879421 0.2896528 5.1370 3.377e-07 ***
idNewHampshire 1.9120027 0.4929311 3.8788 0.0001121 ***
idNewJersey 1.6958572 0.2722986 6.2279 7.042e-10 ***
idNewMexico 1.6591121 0.3144159 5.2768 1.623e-07 ***
idNewYork 2.1819162 0.5475753 3.9847 7.265e-05 ***
idNorthCarolina 1.6114562 0.2499959 6.4459 1.811e-10 ***
idNorthDakota 0.7098769 0.7042896 1.0079 0.3137389
idOhio 1.8807912 0.3409243 5.5167 4.435e-08 ***
idOklahoma 0.7061228 0.1328694 5.3144 1.329e-07 ***
idOregon 2.3514961 0.2660759 8.8377 < 2.2e-16 ***
idPennsylvania 1.8728494 0.3799704 4.9289 9.726e-07 ***
idRhodeIsland 1.9658880 0.5249072 3.7452 0.0001909 ***
idSouthCarolina 1.2126877 0.1340934 9.0436 < 2.2e-16 ***
idSouthDakota 0.5761891 0.6379134 0.9032 0.3666236
idTennessee 0.3128518 0.1940359 1.6123 0.1072147
idTexas 1.3523487 0.5700356 2.3724 0.0178683 *
idUtah 1.2473403 0.2683973 4.6474 3.828e-06 ***
idVermont 1.3147627 0.7288274 1.8039 0.0715517 .
idVirginia 1.3556502 0.2275185 5.9584 3.565e-09 ***
idWashington 1.8308071 0.2642772 6.9276 7.807e-12 ***
idWestVirginia 0.1191002 0.3509089 0.3394 0.7343785
idWisconsin 1.7655287 0.2645902 6.6727 4.225e-11 ***
idWyoming 1.7707724 0.8059722 2.1971 0.0282527 *
time2000 0.1912844 6.5786365 0.0291 0.9768095
time2001 0.2301859 6.5816633 0.0350 0.9721078
time2002 0.3461856 6.5829376 0.0526 0.9580708
time2003 0.4365879 6.5815772 0.0663 0.9471250
time2004 0.4448063 6.5830103 0.0676 0.9461429
time2005 0.6581435 6.5850285 0.0999 0.9204084
time2006 0.7833652 6.5877886 0.1189 0.9053700
time2007 0.9569120 6.5873804 0.1453 0.8845324
time2008 1.0116984 6.5855927 0.1536 0.8779391
time2009 1.2183782 6.5882133 0.1849 0.8533204
time2010 1.1656372 6.5912087 0.1768 0.8596654
time2011 1.1460825 6.5922759 0.1739 0.8620179
time2012 1.1112106 6.5965176 0.1685 0.8662613
time2013 1.0383006 6.5904477 0.1575 0.8748472
time2014 0.7997501 6.5895813 0.1214 0.9034265
time2015 0.7896955 6.5940806 0.1198 0.9046996
time2016 0.6990287 6.5960483 0.1060 0.9156227
time2017 0.6704041 6.5947069 0.1017 0.9190493
time2018 0.7149315 6.5920926 0.1085 0.9136590
time2019 0.5676786 6.5905572 0.0861 0.9313768
time2020 -0.2799885 6.5967028 -0.0424 0.9661538
fesisAlaska.2007 -0.9968234 0.1738531 -5.7337 1.313e-08 ***
fesisAlaska.2014 0.6786427 0.1764178 3.8468 0.0001275 ***
fesisArkansas.2006 -0.8844965 0.2255396 -3.9217 9.415e-05 ***
fesisArkansas.2009 0.9585253 0.2061786 4.6490 3.798e-06 ***
fesisConnecticut.2009 -0.5605825 0.1431179 -3.9169 9.599e-05 ***
fesisDelaware.2014 -0.8937445 0.1528420 -5.8475 6.823e-09 ***
fesisDistrictofColumbia.2008 -0.8900400 0.2166242 -4.1087 4.317e-05 ***
fesisDistrictofColumbia.2011 1.1764462 0.2132178 5.5176 4.414e-08 ***
fesisHawaii.2001 1.0096352 0.3382706 2.9847 0.0029101 **
fesisHawaii.2009 -0.7391441 0.1657128 -4.4604 9.142e-06 ***
fesisHawaii.2016 1.2929459 0.3412551 3.7888 0.0001607 ***
fesisHawaii.2017 -2.0391188 0.3907969 -5.2178 2.215e-07 ***
fesisHawaii.2019 1.2389290 0.3193788 3.8792 0.0001119 ***
fesisLouisiana.2011 -0.7090242 0.1871639 -3.7883 0.0001611 ***
fesisLouisiana.2015 0.9085203 0.2068167 4.3929 1.242e-05 ***
fesisMaine.2011 0.5306353 0.1418495 3.7408 0.0001942 ***
fesisMississippi.2004 -1.1367779 0.1795419 -6.3315 3.712e-10 ***
fesisMississippi.2020 1.3432399 0.3293654 4.0783 4.911e-05 ***
fesisNebraska.2012 0.6717941 0.1421330 4.7265 2.623e-06 ***
fesisNevada.2012 -0.7008411 0.1604860 -4.3670 1.396e-05 ***
fesisNevada.2019 0.9010473 0.2564944 3.5129 0.0004637 ***
fesisOregon.2004 -0.6696946 0.1778343 -3.7658 0.0001760 ***
fesisRhodeIsland.2005 -0.6706054 0.1668081 -4.0202 6.267e-05 ***
fesisSouthCarolina.2008 0.7484373 0.1460456 5.1247 3.599e-07 ***
fesisSouthDakota.2008 0.8230959 0.1558041 5.2829 1.572e-07 ***
fesisSouthDakota.2018 -0.7664190 0.2115491 -3.6229 0.0003065 ***
fesisTennessee.2005 0.4675280 0.1639610 2.8515 0.0044446 **
fesisWyoming.2003 -0.6747956 0.2066986 -3.2646 0.0011346 **
fesisWyoming.2017 -0.6831852 0.2057667 -3.3202 0.0009332 ***
fesisWyoming.2020 1.5981871 0.3682297 4.3402 1.574e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.85371 1 0.3555
Ljung-Box ARCH(1) 0.66418 1 0.4151
SE of regression 0.31556
R-squared 0.94225
Log-lik.(n=1071) -231.89744 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:20:42 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -1.121644 1.379608 -0.8130 0.4164371
lpop 0.800760 0.420160 1.9058 0.0570086 .
lgdp_sq 0.042941 0.052173 0.8231 0.4107081
avg_temp 0.018379 0.012778 1.4384 0.1506958
idArizona 1.550340 0.141700 10.9410 < 2.2e-16 ***
idArkansas 0.116314 0.226636 0.5132 0.6079302
idCalifornia 2.319270 0.730298 3.1758 0.0015484 **
idColorado 2.324641 0.260945 8.9085 < 2.2e-16 ***
idConnecticut 3.163723 0.279360 11.3249 < 2.2e-16 ***
idDelaware 2.900331 0.596779 4.8600 1.399e-06 ***
idDistrictofColumbia 1.793946 0.785616 2.2835 0.0226484 *
idFlorida 0.888396 0.482321 1.8419 0.0658365 .
idGeorgia 0.967066 0.266093 3.6343 0.0002955 ***
idHawaii -0.050432 0.570488 -0.0884 0.9295791
idIdaho 1.354946 0.484088 2.7990 0.0052432 **
idIllinois 1.610267 0.394812 4.0786 4.959e-05 ***
idIndiana 1.010944 0.209295 4.8302 1.618e-06 ***
idIowa 0.846279 0.263773 3.2084 0.0013851 **
idKansas 0.511717 0.225188 2.2724 0.0233121 *
idKentucky 0.328802 0.134239 2.4494 0.0145117 *
idLouisiana 0.191260 0.153344 1.2473 0.2126460
idMaine 1.089680 0.535857 2.0335 0.0423105 *
idMaryland 1.370794 0.189612 7.2295 1.084e-12 ***
idMassachusetts 2.869965 0.286075 10.0322 < 2.2e-16 ***
idMichigan 2.123650 0.358556 5.9228 4.599e-09 ***
idMinnesota 2.275161 0.313489 7.2576 8.917e-13 ***
idMissouri 0.738229 0.168463 4.3821 1.323e-05 ***
idNebraska 0.581759 0.386504 1.5052 0.1326499
idNevada 1.690207 0.294308 5.7430 1.296e-08 ***
idNewHampshire 2.221543 0.513179 4.3290 1.677e-05 ***
idNewJersey 1.764343 0.295726 5.9661 3.567e-09 ***
idNewMexico 1.820659 0.329048 5.5331 4.195e-08 ***
idNewYork 2.243438 0.569454 3.9396 8.833e-05 ***
idNorthCarolina 1.599735 0.262603 6.0918 1.692e-09 ***
idOhio 1.921875 0.357299 5.3789 9.702e-08 ***
idOklahoma 0.767899 0.130428 5.8875 5.648e-09 ***
idOregon 2.525030 0.268950 9.3885 < 2.2e-16 ***
idPennsylvania 1.928036 0.398338 4.8402 1.541e-06 ***
idRhodeIsland 2.233253 0.552983 4.0386 5.866e-05 ***
idSouthCarolina 1.233208 0.127182 9.6964 < 2.2e-16 ***
idSouthDakota 0.774681 0.701922 1.1037 0.2700556
idTennessee 0.361082 0.195294 1.8489 0.0648183 .
idTexas 1.192848 0.584439 2.0410 0.0415588 *
idUtah 1.545326 0.285230 5.4178 7.867e-08 ***
idVermont 1.669910 0.793016 2.1058 0.0355181 *
idVirginia 1.404982 0.246644 5.6964 1.688e-08 ***
idWashington 1.983104 0.288290 6.8788 1.172e-11 ***
idWisconsin 1.794952 0.282550 6.3527 3.450e-10 ***
time2000 0.067334 9.151680 0.0074 0.9941313
time2001 0.110314 9.154305 0.0121 0.9903882
time2002 0.230605 9.157711 0.0252 0.9799161
time2003 0.288582 9.160250 0.0315 0.9748752
time2004 0.284436 9.165698 0.0310 0.9752508
time2005 0.570110 9.170582 0.0622 0.9504443
time2006 0.618669 9.174893 0.0674 0.9462548
time2007 0.835973 9.175257 0.0911 0.9274254
time2008 0.899454 9.172202 0.0981 0.9219055
time2009 1.112974 9.169615 0.1214 0.9034217
time2010 1.050239 9.174345 0.1145 0.9088879
time2011 1.030012 9.176722 0.1122 0.9106582
time2012 0.982281 9.180816 0.1070 0.9148201
time2013 0.946925 9.175993 0.1032 0.9178319
time2014 0.677914 9.177856 0.0739 0.9411359
time2015 0.657332 9.183848 0.0716 0.9429572
time2016 0.594773 9.185718 0.0647 0.9483885
time2017 0.562902 9.186111 0.0613 0.9511527
time2018 0.608386 9.186438 0.0662 0.9472131
time2019 0.453137 9.187548 0.0493 0.9606753
time2020 -0.497297 9.188172 -0.0541 0.9568494
fesisArkansas.2006 -0.876677 0.213740 -4.1016 4.499e-05 ***
fesisArkansas.2009 0.943269 0.195378 4.8279 1.637e-06 ***
fesisConnecticut.2009 -0.577771 0.136363 -4.2370 2.514e-05 ***
fesisDelaware.2014 -0.907085 0.146198 -6.2045 8.576e-10 ***
fesisDistrictofColumbia.2008 -0.903528 0.206354 -4.3785 1.344e-05 ***
fesisDistrictofColumbia.2011 1.167216 0.202553 5.7625 1.160e-08 ***
fesisHawaii.2001 1.014429 0.320762 3.1626 0.0016196 **
fesisHawaii.2009 -0.751480 0.157741 -4.7640 2.232e-06 ***
fesisHawaii.2016 1.282986 0.323407 3.9671 7.891e-05 ***
fesisHawaii.2017 -2.038360 0.370152 -5.5068 4.846e-08 ***
fesisHawaii.2019 1.284482 0.303161 4.2370 2.514e-05 ***
fesisKansas.2020 1.072168 0.310571 3.4523 0.0005835 ***
fesisLouisiana.2011 -0.722625 0.177624 -4.0683 5.178e-05 ***
fesisLouisiana.2015 0.909821 0.196588 4.6281 4.269e-06 ***
fesisMaine.2011 0.527758 0.134916 3.9118 9.897e-05 ***
fesisNebraska.2008 -0.540763 0.187653 -2.8817 0.0040550 **
fesisNebraska.2012 1.041236 0.183024 5.6891 1.759e-08 ***
fesisNevada.2012 -0.746172 0.153731 -4.8538 1.442e-06 ***
fesisNevada.2019 0.958317 0.243177 3.9408 8.790e-05 ***
fesisOregon.2004 -0.667852 0.169706 -3.9353 8.989e-05 ***
fesisRhodeIsland.2005 -0.682062 0.158805 -4.2950 1.950e-05 ***
fesisSouthCarolina.2008 0.722071 0.138571 5.2108 2.363e-07 ***
fesisSouthDakota.2004 1.318512 0.338217 3.8984 0.0001045 ***
fesisSouthDakota.2005 -1.449039 0.348907 -4.1531 3.613e-05 ***
fesisSouthDakota.2008 1.075379 0.205311 5.2378 2.052e-07 ***
fesisSouthDakota.2018 -0.723495 0.200892 -3.6014 0.0003349 ***
fesisTennessee.2005 0.446577 0.155250 2.8765 0.0041221 **
fesisUtah.2016 -0.440595 0.164504 -2.6783 0.0075426 **
fesisWisconsin.2014 0.454488 0.141280 3.2169 0.0013449 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.5965 1 0.2064
Ljung-Box ARCH(1) 1.8923 1 0.1689
SE of regression 0.29844
R-squared 0.94015
Log-lik.(n=945) -149.22987 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:23:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.2470962 1.3777795 -1.6310 0.1033629
lpop 0.7639173 0.4101975 1.8623 0.0629897 .
lgdp_sq 0.0866057 0.0514461 1.6834 0.0927514 .
avg_temp 0.0017532 0.0123989 0.1414 0.8875945
idCalifornia 0.6823877 0.5986490 1.1399 0.2547379
idColorado 0.5188317 0.2173261 2.3873 0.0172429 *
idConnecticut 1.3919640 0.2670155 5.2130 2.467e-07 ***
idDelaware 1.0432671 0.6319113 1.6510 0.0992063 .
idDistrictofColumbia -0.0080001 0.8105641 -0.0099 0.9921280
idFlorida -0.4678721 0.3695371 -1.2661 0.2059098
idGeorgia -0.5123936 0.1610057 -3.1825 0.0015268 **
idIdaho -0.6874698 0.5122373 -1.3421 0.1800140
idIllinois -0.0647558 0.2729909 -0.2372 0.8125662
idIndiana -0.6823608 0.1370869 -4.9776 8.168e-07 ***
idIowa -0.9786175 0.2830820 -3.4570 0.0005802 ***
idKentucky -1.3435573 0.1764866 -7.6128 8.990e-14 ***
idMaryland -0.2739548 0.1285430 -2.1312 0.0334282 *
idMassachusetts 1.1215602 0.2037013 5.5059 5.210e-08 ***
idMichigan 0.3316610 0.2608299 1.2716 0.2039640
idMinnesota 0.3971989 0.2622399 1.5146 0.1303284
idMissouri -0.9127205 0.1103240 -8.2731 6.881e-16 ***
idNevada -0.0475107 0.3295470 -0.1442 0.8854092
idNewHampshire 0.1988158 0.5390409 0.3688 0.7123674
idNewJersey 0.1049303 0.1858854 0.5645 0.5726073
idNewMexico 0.0224522 0.3782661 0.0594 0.9526863
idNewYork 0.7653397 0.4625395 1.6546 0.0984575 .
idNorthCarolina 0.0435317 0.1523146 0.2858 0.7751172
idOhio 0.2376387 0.2426558 0.9793 0.3277681
idOklahoma -0.8442279 0.1814430 -4.6529 3.936e-06 ***
idOregon 0.6976296 0.2672277 2.6106 0.0092370 **
idPennsylvania 0.2060559 0.2817508 0.7313 0.4648229
idRhodeIsland 0.2377036 0.5803723 0.4096 0.6822497
idSouthCarolina -0.3294651 0.1576457 -2.0899 0.0369970 *
idTennessee -1.2501861 0.1359901 -9.1932 < 2.2e-16 ***
idTexas -0.2895296 0.4578355 -0.6324 0.5273461
idUtah -0.2980551 0.3159701 -0.9433 0.3458618
idVirginia -0.5273501 0.1762818 -2.9915 0.0028764 **
idWashington 0.2068885 0.2075854 0.9966 0.3192923
idWisconsin -0.0449661 0.2293472 -0.1961 0.8446207
time2000 10.1812028 8.9215876 1.1412 0.2541937
time2001 10.1996658 8.9242479 1.1429 0.2534757
time2002 10.4376551 8.9263822 1.1693 0.2426908
time2003 10.4004259 8.9278699 1.1649 0.2444521
time2004 10.4600965 8.9328469 1.1710 0.2420210
time2005 10.6646113 8.9378796 1.1932 0.2332101
time2006 10.8422746 8.9421460 1.2125 0.2257454
time2007 10.9296405 8.9422562 1.2222 0.2220380
time2008 11.0132487 8.9392880 1.2320 0.2183730
time2009 11.1872785 8.9365453 1.2519 0.2110523
time2010 11.2161737 8.9404665 1.2545 0.2100768
time2011 11.2008654 8.9421938 1.2526 0.2107871
time2012 11.1275556 8.9465699 1.2438 0.2140095
time2013 11.0904370 8.9414125 1.2403 0.2152756
time2014 10.7844144 8.9431688 1.2059 0.2282821
time2015 10.8426589 8.9489599 1.2116 0.2260822
time2016 10.7268678 8.9504419 1.1985 0.2311502
time2017 10.7171277 8.9507658 1.1973 0.2315905
time2018 10.7440752 8.9512515 1.2003 0.2304457
time2019 10.5900772 8.9519925 1.1830 0.2372283
time2020 9.6343370 8.9527146 1.0761 0.2822482
fesisConnecticut.2009 -0.5620700 0.1195435 -4.7018 3.123e-06 ***
fesisDelaware.2014 -0.8850364 0.1285293 -6.8859 1.309e-11 ***
fesisDistrictofColumbia.2008 -0.6953544 0.1642718 -4.2330 2.623e-05 ***
fesisDistrictofColumbia.2012 1.0564907 0.1628976 6.4856 1.701e-10 ***
fesisKentucky.2006 -1.0792301 0.2848597 -3.7886 0.0001649 ***
fesisKentucky.2007 1.1632909 0.2731690 4.2585 2.348e-05 ***
fesisNevada.2010 -0.7086100 0.1325450 -5.3462 1.228e-07 ***
fesisNevada.2019 0.8827521 0.2071968 4.2605 2.328e-05 ***
fesisNewYork.2005 -0.4397655 0.1402630 -3.1353 0.0017908 **
fesisOregon.2004 -0.6527114 0.1488687 -4.3845 1.347e-05 ***
fesisRhodeIsland.2005 -0.6450517 0.1404719 -4.5920 5.230e-06 ***
fesisSouthCarolina.2008 0.7482276 0.1211142 6.1779 1.119e-09 ***
fesisTennessee.2005 0.4688601 0.1356152 3.4573 0.0005796 ***
fesisUtah.2016 -0.3910986 0.1446275 -2.7042 0.0070186 **
fesisVirginia.2005 0.4082799 0.1358049 3.0064 0.0027413 **
fesisWisconsin.2014 0.4482852 0.1237208 3.6234 0.0003125 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.032054 1 0.8579
Ljung-Box ARCH(1) 0.675487 1 0.4111
SE of regression 0.25984
R-squared 0.94082
Log-lik.(n=756) -15.87384 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:14:16 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -179.754583 24.345460 -7.3835 3.293e-13 ***
lpop 20.597205 8.041436 2.5614 0.0105745 *
lgdp_sq 6.550721 1.011323 6.4774 1.475e-10 ***
avg_temp -0.045611 0.249899 -0.1825 0.8552138
idAlaska -3.281994 15.835124 -0.2073 0.8358496
idArizona 18.035144 2.879602 6.2631 5.643e-10 ***
idArkansas -4.425262 3.955606 -1.1187 0.2635291
idCalifornia 58.937415 14.471172 4.0727 5.022e-05 ***
idColorado 31.475003 4.981351 6.3186 4.002e-10 ***
idConnecticut 52.150115 5.133856 10.1581 < 2.2e-16 ***
idDelaware 13.463459 11.568359 1.1638 0.2447815
idDistrictofColumbia 28.571191 15.018447 1.9024 0.0574113 .
idFlorida 15.917019 9.459024 1.6827 0.0927455 .
idGeorgia 12.255427 5.185990 2.3632 0.0183135 *
idHawaii -0.768810 9.242036 -0.0832 0.9337205
idIdaho -9.561261 9.388208 -1.0184 0.3087238
idIllinois 23.324645 7.609685 3.0651 0.0022354 **
idIndiana 7.948546 4.061496 1.9570 0.0506256 .
idIowa 4.616960 5.238732 0.8813 0.3783650
idKansas 3.075740 4.524505 0.6798 0.4967944
idKentucky 0.684491 2.821381 0.2426 0.8083595
idLouisiana 5.465699 2.701765 2.0230 0.0433434 *
idMaine -9.797383 10.495680 -0.9335 0.3508085
idMaryland 15.001249 3.594217 4.1737 3.263e-05 ***
idMassachusetts 48.420198 5.854457 8.2707 4.316e-16 ***
idMichigan 34.083496 6.916050 4.9282 9.743e-07 ***
idMinnesota 26.793193 5.988161 4.4744 8.563e-06 ***
idMississippi -8.247599 3.877493 -2.1270 0.0336659 *
idMissouri 5.821812 3.324500 1.7512 0.0802273 .
idMontana -17.489741 12.267186 -1.4257 0.1542640
idNebraska 2.040100 7.531564 0.2709 0.7865456
idNevada 7.841222 5.418619 1.4471 0.1481922
idNewHampshire 3.295370 10.078647 0.3270 0.7437639
idNewJersey 26.069738 5.613345 4.6442 3.879e-06 ***
idNewMexico 3.737298 6.453220 0.5791 0.5626300
idNewYork 65.414206 11.144453 5.8697 5.973e-09 ***
idNorthCarolina 23.318836 5.092142 4.5794 5.264e-06 ***
idNorthDakota -20.233617 14.881969 -1.3596 0.1742676
idOhio 32.194712 6.883400 4.6772 3.317e-06 ***
idOklahoma 4.369255 2.749088 1.5893 0.1123049
idOregon 14.968084 4.661181 3.2112 0.0013648 **
idPennsylvania 25.516373 8.100036 3.1502 0.0016813 **
idRhodeIsland -5.752317 10.791632 -0.5330 0.5941304
idSouthCarolina 18.448084 2.087009 8.8395 < 2.2e-16 ***
idSouthDakota -12.520246 12.995939 -0.9634 0.3355863
idTennessee 6.482980 3.116113 2.0805 0.0377420 *
idTexas 27.256996 11.541527 2.3616 0.0183890 *
idUtah 6.193290 5.509436 1.1241 0.2612359
idVermont -22.637645 15.250229 -1.4844 0.1380212
idVirginia 18.304437 4.699943 3.8946 0.0001050 ***
idWashington 25.763675 5.439371 4.7365 2.495e-06 ***
idWestVirginia -10.070715 7.327825 -1.3743 0.1696595
idWisconsin 18.986074 5.453512 3.4814 0.0005207 ***
idWyoming -9.130044 15.797558 -0.5779 0.5634374
time2000 1037.844474 165.730784 6.2622 5.673e-10 ***
time2001 1039.192735 165.802366 6.2677 5.486e-10 ***
time2002 1041.128018 165.842275 6.2778 5.152e-10 ***
time2003 1041.916642 165.843640 6.2825 5.004e-10 ***
time2004 1043.331053 165.909709 6.2885 4.821e-10 ***
time2005 1046.117586 165.972003 6.3030 4.409e-10 ***
time2006 1048.199621 166.061193 6.3121 4.166e-10 ***
time2007 1050.243414 166.072650 6.3240 3.869e-10 ***
time2008 1052.727887 166.046668 6.3400 3.503e-10 ***
time2009 1055.294554 166.080293 6.3541 3.207e-10 ***
time2010 1056.398698 166.158410 6.3578 3.134e-10 ***
time2011 1055.313010 166.195138 6.3498 3.294e-10 ***
time2012 1054.426448 166.274897 6.3415 3.470e-10 ***
time2013 1053.653760 166.142000 6.3419 3.461e-10 ***
time2014 1049.812082 166.161101 6.3180 4.015e-10 ***
time2015 1050.612954 166.269809 6.3187 3.998e-10 ***
time2016 1048.938928 166.328092 6.3064 4.315e-10 ***
time2017 1049.610796 166.317973 6.3109 4.198e-10 ***
time2018 1049.557342 166.275402 6.3122 4.165e-10 ***
time2019 1047.958118 166.253426 6.3034 4.398e-10 ***
time2020 1038.613331 166.355466 6.2433 6.373e-10 ***
fesisCalifornia.2004 44.208242 5.907356 7.4836 1.608e-13 ***
fesisCalifornia.2006 101.849390 8.338731 12.2140 < 2.2e-16 ***
fesisCalifornia.2007 29.778539 9.618137 3.0961 0.0020167 **
fesisCalifornia.2008 46.994132 9.619883 4.8851 1.207e-06 ***
fesisCalifornia.2009 33.497873 9.615679 3.4837 0.0005165 ***
fesisCalifornia.2010 -37.438158 8.349915 -4.4837 8.205e-06 ***
fesisCalifornia.2012 -21.934566 6.811916 -3.2200 0.0013240 **
fesisCalifornia.2014 -64.147236 6.240299 -10.2795 < 2.2e-16 ***
fesisCalifornia.2017 -38.335287 5.608996 -6.8346 1.444e-11 ***
fesisCalifornia.2020 -140.229128 7.852940 -17.8569 < 2.2e-16 ***
fesisConnecticut.2013 -19.794253 3.101660 -6.3818 2.696e-10 ***
fesisMassachusetts.2006 36.202465 3.713862 9.7479 < 2.2e-16 ***
fesisMassachusetts.2014 -30.693310 3.543420 -8.6621 < 2.2e-16 ***
fesisNewYork.2016 -26.958361 3.613786 -7.4599 1.907e-13 ***
fesisNorthDakota.2012 19.193829 3.909857 4.9091 1.072e-06 ***
fesisPennsylvania.2007 29.109524 3.666433 7.9395 5.542e-15 ***
fesisPennsylvania.2014 -29.868969 3.658723 -8.1638 9.933e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 167.25 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 109.74 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.73144
R-squared 0.96631
Log-lik.(n=1071) -3515.85481 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:12:48 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -177.343863 30.664770 -5.7833 1.024e-08 ***
lpop 17.789074 8.935367 1.9909 0.0468118 *
lgdp_sq 6.613355 1.233160 5.3629 1.053e-07 ***
avg_temp 0.017386 0.299781 0.0580 0.9537662
idArizona 17.502197 3.148794 5.5584 3.632e-08 ***
idArkansas -3.510162 4.372158 -0.8028 0.4222862
idCalifornia 55.692043 15.966044 3.4882 0.0005110 ***
idColorado 31.100892 5.884585 5.2851 1.593e-07 ***
idConnecticut 52.900743 6.097031 8.6765 < 2.2e-16 ***
idDelaware 13.510244 12.761894 1.0586 0.2900609
idDistrictofColumbia 25.410472 16.546861 1.5357 0.1249874
idFlorida 13.375562 10.394505 1.2868 0.1985128
idGeorgia 10.564044 5.716479 1.8480 0.0649454 .
idHawaii -1.398569 10.420284 -0.1342 0.8932631
idIdaho -7.050025 10.671302 -0.6607 0.5090117
idIllinois 21.383785 8.566836 2.4961 0.0127423 *
idIndiana 7.602417 4.691581 1.6204 0.1055044
idIowa 5.118692 5.968702 0.8576 0.3913582
idKansas 3.330044 5.006439 0.6652 0.5061313
idKentucky 1.102305 3.146299 0.3503 0.7261619
idLouisiana 4.255305 2.975532 1.4301 0.1530514
idMaine -7.300172 11.903053 -0.6133 0.5398383
idMaryland 13.902822 4.125023 3.3704 0.0007841 ***
idMassachusetts 47.467435 6.765583 7.0160 4.622e-12 ***
idMichigan 33.887907 7.996841 4.2377 2.502e-05 ***
idMinnesota 26.652543 7.123527 3.7415 0.0001951 ***
idMissouri 5.489860 3.788987 1.4489 0.1477298
idNebraska 2.714091 8.388536 0.3235 0.7463591
idNevada 8.277861 6.067278 1.3643 0.1728155
idNewHampshire 4.818116 11.305132 0.4262 0.6700771
idNewJersey 24.310968 6.389736 3.8047 0.0001520 ***
idNewMexico 4.889492 7.181849 0.6808 0.4961732
idNewYork 62.599566 12.574934 4.9781 7.756e-07 ***
idNorthCarolina 22.053489 5.653616 3.9008 0.0001034 ***
idOhio 31.076131 7.782867 3.9929 7.084e-05 ***
idOklahoma 4.368721 2.968073 1.4719 0.1414121
idOregon 15.620748 5.402756 2.8913 0.0039336 **
idPennsylvania 24.674118 9.153450 2.6956 0.0071631 **
idRhodeIsland -4.182055 12.059400 -0.3468 0.7288354
idSouthCarolina 18.500983 2.199287 8.4123 < 2.2e-16 ***
idSouthDakota -10.440596 14.599867 -0.7151 0.4747313
idTennessee 5.959457 3.473899 1.7155 0.0866143 .
idTexas 23.739024 12.691537 1.8705 0.0617589 .
idUtah 7.039296 6.224979 1.1308 0.2584481
idVermont -19.804199 17.267435 -1.1469 0.2517373
idVirginia 16.880259 5.322086 3.1717 0.0015690 **
idWashington 24.793391 6.387409 3.8816 0.0001117 ***
idWisconsin 19.213677 6.463841 2.9725 0.0030363 **
time2000 1019.197135 205.358063 4.9630 8.366e-07 ***
time2001 1020.581204 205.434599 4.9679 8.163e-07 ***
time2002 1022.491013 205.484043 4.9760 7.838e-07 ***
time2003 1023.187594 205.491528 4.9792 7.713e-07 ***
time2004 1024.599071 205.588757 4.9837 7.540e-07 ***
time2005 1027.455142 205.666768 4.9957 7.099e-07 ***
time2006 1028.941268 205.763171 5.0006 6.926e-07 ***
time2007 1031.857786 205.757691 5.0149 6.444e-07 ***
time2008 1034.342595 205.723543 5.0278 6.036e-07 ***
time2009 1037.711472 205.730754 5.0440 5.560e-07 ***
time2010 1038.789493 205.827251 5.0469 5.480e-07 ***
time2011 1037.350448 205.866078 5.0390 5.705e-07 ***
time2012 1036.511768 205.983682 5.0320 5.910e-07 ***
time2013 1035.442485 205.826122 5.0307 5.950e-07 ***
time2014 1030.936642 205.853230 5.0081 6.669e-07 ***
time2015 1031.611599 205.978109 5.0084 6.661e-07 ***
time2016 1029.823032 206.060900 4.9977 7.030e-07 ***
time2017 1030.547469 206.061883 5.0012 6.907e-07 ***
time2018 1030.383829 206.027305 5.0012 6.906e-07 ***
time2019 1028.548271 206.013767 4.9926 7.211e-07 ***
time2020 1018.122399 206.114316 4.9396 9.404e-07 ***
fesisCalifornia.2004 43.968753 6.233730 7.0534 3.588e-12 ***
fesisCalifornia.2006 116.609349 7.187106 16.2248 < 2.2e-16 ***
fesisCalifornia.2008 61.390728 8.795862 6.9795 5.914e-12 ***
fesisCalifornia.2009 32.867269 10.141162 3.2410 0.0012370 **
fesisCalifornia.2010 -37.231466 8.813913 -4.2242 2.654e-05 ***
fesisCalifornia.2012 -21.921698 7.187305 -3.0501 0.0023581 **
fesisCalifornia.2014 -63.620217 6.589333 -9.6550 < 2.2e-16 ***
fesisCalifornia.2017 -38.501985 5.925862 -6.4973 1.382e-10 ***
fesisCalifornia.2020 -139.053785 8.282065 -16.7897 < 2.2e-16 ***
fesisConnecticut.2009 -16.214965 3.216622 -5.0410 5.647e-07 ***
fesisMassachusetts.2006 35.157955 3.921374 8.9657 < 2.2e-16 ***
fesisMassachusetts.2014 -29.980129 3.735496 -8.0257 3.296e-15 ***
fesisNewYork.2016 -26.658578 3.822581 -6.9740 6.138e-12 ***
fesisPennsylvania.2007 27.987012 3.868575 7.2344 1.034e-12 ***
fesisPennsylvania.2014 -28.917093 3.859280 -7.4929 1.672e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 141.551 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 93.849 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.08951
R-squared 0.96586
Log-lik.(n=945) -3149.78906 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Tue Mar 28 20:15:07 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -208.622820 43.272634 -4.8211 1.760e-06 ***
lpop 20.057946 10.735650 1.8683 0.0621400 .
lgdp_sq 8.035017 1.673349 4.8018 1.933e-06 ***
avg_temp 0.028136 0.378135 0.0744 0.9407086
idCalifornia 21.482056 16.912878 1.2702 0.2044590
idColorado 14.092307 6.507186 2.1657 0.0306821 *
idConnecticut 28.055335 7.256573 3.8662 0.0001211 ***
idDelaware 3.706762 16.652900 0.2226 0.8239213
idDistrictofColumbia 15.930060 21.026753 0.7576 0.4489456
idFlorida -13.129956 10.371681 -1.2659 0.2059639
idGeorgia -10.591676 4.599828 -2.3026 0.0215989 *
idIdaho -17.996127 14.263529 -1.2617 0.2074904
idIllinois -3.088444 7.756846 -0.3982 0.6906383
idIndiana -10.334403 4.165654 -2.4809 0.0133456 *
idIowa -8.618130 8.028275 -1.0735 0.2834373
idKentucky -13.890493 4.469828 -3.1076 0.0019641 **
idMaryland -4.102125 3.769588 -1.0882 0.2768826
idMassachusetts 28.584820 6.621781 4.3168 1.817e-05 ***
idMichigan 13.108535 7.603516 1.7240 0.0851573 .
idMinnesota 9.363595 7.932998 1.1803 0.2382768
idMissouri -11.803231 3.354480 -3.5186 0.0004624 ***
idNevada -4.818457 8.473733 -0.5686 0.5697906
idNewHampshire -5.764433 14.839835 -0.3884 0.6978088
idNewJersey 2.760233 5.396584 0.5115 0.6091814
idNewMexico -6.921081 10.280790 -0.6732 0.5010439
idNewYork 32.348656 12.732390 2.5407 0.0112840 *
idNorthCarolina 1.252034 4.302826 0.2910 0.7711550
idOhio 8.521974 6.862812 1.2418 0.2147497
idOklahoma -10.188378 4.981527 -2.0452 0.0412135 *
idOregon 0.986638 6.926499 0.1424 0.8867712
idPennsylvania 10.085920 7.996453 1.2613 0.2076304
idRhodeIsland -14.359786 15.928920 -0.9015 0.3676439
idSouthCarolina 3.202330 3.803088 0.8420 0.4000627
idTennessee -11.689189 2.663229 -4.3891 1.318e-05 ***
idTexas -7.522480 12.998028 -0.5787 0.5629548
idUtah -6.053935 8.599472 -0.7040 0.4816788
idVirginia -3.381407 4.159210 -0.8130 0.4165048
idWashington 5.455905 6.224090 0.8766 0.3810228
idWisconsin 2.124369 7.015173 0.3028 0.7621153
time2000 1184.948596 276.027346 4.2929 2.018e-05 ***
time2001 1186.387906 276.097678 4.2970 1.982e-05 ***
time2002 1188.601346 276.142236 4.3043 1.919e-05 ***
time2003 1188.950197 276.159452 4.3053 1.911e-05 ***
time2004 1190.330202 276.299442 4.3081 1.888e-05 ***
time2005 1193.215759 276.395115 4.3171 1.815e-05 ***
time2006 1195.189631 276.511341 4.3224 1.772e-05 ***
time2007 1198.959817 276.497425 4.3362 1.667e-05 ***
time2008 1202.084703 276.434395 4.3485 1.579e-05 ***
time2009 1205.669365 276.377975 4.3624 1.485e-05 ***
time2010 1207.326858 276.481483 4.3668 1.456e-05 ***
time2011 1205.273878 276.517063 4.3588 1.509e-05 ***
time2012 1203.348747 276.634054 4.3500 1.569e-05 ***
time2013 1202.369051 276.469646 4.3490 1.576e-05 ***
time2014 1196.076055 276.515308 4.3255 1.748e-05 ***
time2015 1196.682922 276.656432 4.3255 1.748e-05 ***
time2016 1193.927516 276.741798 4.3142 1.837e-05 ***
time2017 1194.967243 276.752278 4.3178 1.809e-05 ***
time2018 1194.599688 276.737115 4.3167 1.817e-05 ***
time2019 1192.087896 276.742280 4.3076 1.892e-05 ***
time2020 1179.853700 276.796905 4.2625 2.305e-05 ***
fesisCalifornia.2004 43.137860 6.991733 6.1698 1.169e-09 ***
fesisCalifornia.2006 114.977634 8.058105 14.2686 < 2.2e-16 ***
fesisCalifornia.2008 60.096948 9.862491 6.0935 1.843e-09 ***
fesisCalifornia.2009 32.957356 11.366787 2.8994 0.0038579 **
fesisCalifornia.2010 -48.338079 9.013749 -5.3627 1.122e-07 ***
fesisCalifornia.2014 -73.037130 6.257594 -11.6718 < 2.2e-16 ***
fesisCalifornia.2017 -39.040871 6.652459 -5.8686 6.844e-09 ***
fesisCalifornia.2020 -136.867459 9.283237 -14.7435 < 2.2e-16 ***
fesisMassachusetts.2006 32.803638 4.400958 7.4537 2.747e-13 ***
fesisMassachusetts.2014 -27.511882 4.183789 -6.5758 9.601e-11 ***
fesisNewYork.2016 -25.283928 4.277606 -5.9108 5.370e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 116.26 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 50.84 1 1.002e-12 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.9237
R-squared 0.9635
Log-lik.(n=756) -2602.0302 AR(1)
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:29:23 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 -0.0086843 0.0298235 -0.2912 0.7709718
lgdp 49.3903297 3.8752905 12.7449 < 2.2e-16 ***
lpop -38.4133668 2.3921637 -16.0580 < 2.2e-16 ***
lgdp_sq -1.7880958 0.2294973 -7.7914 1.782e-14 ***
avg_temp -0.1313724 0.0930587 -1.4117 0.1583714
idAlaska -0.7517209 0.1823111 -4.1233 4.072e-05 ***
idArizona 2.0176398 0.1352662 14.9161 < 2.2e-16 ***
idArkansas 0.9224867 0.3992992 2.3103 0.0210935 *
idCalifornia 4.3513981 0.1762163 24.6935 < 2.2e-16 ***
idColorado 2.3760313 0.1397411 17.0031 < 2.2e-16 ***
idConnecticut 3.0504565 0.1845766 16.5268 < 2.2e-16 ***
idDelaware 1.8671201 0.1476774 12.6432 < 2.2e-16 ***
idDistrictofColumbia 0.0950158 0.1701462 0.5584 0.5766822
idFlorida 2.4707682 0.1410230 17.5203 < 2.2e-16 ***
idGeorgia 1.7633813 0.1324417 13.3144 < 2.2e-16 ***
idHawaii 0.4533402 0.1620328 2.7978 0.0052519 **
idIdaho 0.3536534 0.1221501 2.8952 0.0038782 **
idIllinois 2.4888216 0.1416921 17.5650 < 2.2e-16 ***
idIndiana 1.2909563 0.1271661 10.1517 < 2.2e-16 ***
idIowa 0.3396793 0.1221019 2.7819 0.0055139 **
idKansas 0.0390610 0.1218330 0.3206 0.7485775
idKentucky 0.1691287 0.1219062 1.3874 0.1656649
idLouisiana 0.1770833 0.1219038 1.4526 0.1466618
idMaine 0.1849662 0.1218449 1.5180 0.1293454
idMaryland 1.6380868 0.1304102 12.5610 < 2.2e-16 ***
idMassachusetts 3.1840044 0.1532398 20.7779 < 2.2e-16 ***
idMichigan 2.7057055 0.1452303 18.6304 < 2.2e-16 ***
idMinnesota 2.2670428 0.1386937 16.3457 < 2.2e-16 ***
idMississippi 0.5603157 0.2404689 2.3301 0.0200161 *
idMissouri -0.3564831 0.3993420 -0.8927 0.3722635
idMontana -0.5745610 0.1231699 -4.6648 3.546e-06 ***
idNebraska -0.7102148 0.1467406 -4.8399 1.522e-06 ***
idNevada 0.9709645 0.1248587 7.7765 1.990e-14 ***
idNewHampshire 1.1575903 0.1266043 9.1434 < 2.2e-16 ***
idNewJersey 2.3598172 0.1398148 16.8782 < 2.2e-16 ***
idNewMexico 1.2965447 0.1274294 10.1746 < 2.2e-16 ***
idNewYork 3.4140903 0.1577819 21.6380 < 2.2e-16 ***
idNorthCarolina 2.3696596 0.1398079 16.9494 < 2.2e-16 ***
idNorthDakota -0.7823021 0.1245959 -6.2787 5.250e-10 ***
idOhio 2.7134858 0.1457272 18.6203 < 2.2e-16 ***
idOklahoma 0.7249609 0.1232859 5.8803 5.721e-09 ***
idOregon 1.8150206 0.1326408 13.6837 < 2.2e-16 ***
idPennsylvania 2.7766018 0.1464746 18.9562 < 2.2e-16 ***
idRhodeIsland 1.3249745 0.2157826 6.1403 1.223e-09 ***
idSouthCarolina 1.4393887 0.1751817 8.2165 7.050e-16 ***
idSouthDakota -0.9691201 0.2426139 -3.9945 7.000e-05 ***
idTennessee 1.0591665 0.1252034 8.4596 < 2.2e-16 ***
idTexas 2.9282689 0.1487493 19.6859 < 2.2e-16 ***
idUtah 0.9713086 0.1249756 7.7720 2.058e-14 ***
idVermont -0.0033166 0.1218307 -0.0272 0.9782878
idVirginia 1.9573314 0.1341866 14.5866 < 2.2e-16 ***
idWashington 2.2576494 0.1380954 16.3485 < 2.2e-16 ***
idWestVirginia -0.7308037 0.1239341 -5.8967 5.200e-09 ***
idWisconsin 2.0235156 0.1347571 15.0160 < 2.2e-16 ***
idWyoming -0.3137740 0.1296614 -2.4199 0.0157151 *
time2001 -2.8297493 0.5978103 -4.7335 2.553e-06 ***
time2002 -2.6466759 0.5542921 -4.7749 2.091e-06 ***
time2003 -2.6580475 0.4811235 -5.5247 4.295e-08 ***
time2004 -2.7998925 0.3437247 -8.1457 1.219e-15 ***
time2005 -2.4017906 0.2646764 -9.0744 < 2.2e-16 ***
time2006 -1.7457545 0.2129304 -8.1987 8.097e-16 ***
time2007 -1.2028925 0.1847421 -6.5112 1.223e-10 ***
time2008 -0.9385672 0.2270726 -4.1333 3.901e-05 ***
time2009 -0.1610334 0.2673479 -0.6023 0.5470983
time2010 -0.1464284 0.2401412 -0.6098 0.5421714
time2011 0.0273041 0.1750244 0.1560 0.8760659
time2012 0.2025973 0.1596178 1.2693 0.2046669
time2013 -0.1581466 0.2143947 -0.7376 0.4609196
time2014 -0.3639996 0.2608677 -1.3953 0.1632487
time2015 0.0739099 0.1254062 0.5894 0.5557614
time2016 0.0706487 0.1143770 0.6177 0.5369368
fesisAlaska.2007 -1.2319069 0.2184087 -5.6404 2.256e-08 ***
fesisAlaska.2014 0.7861437 0.2083713 3.7728 0.0001717 ***
fesisArkansas.2002 -1.5436958 0.4351822 -3.5472 0.0004089 ***
fesisArkansas.2006 -0.8537512 0.2974070 -2.8706 0.0041900 **
fesisArkansas.2009 1.2432120 0.2518185 4.9369 9.417e-07 ***
fesisConnecticut.2009 -0.6464283 0.1787174 -3.6170 0.0003142 ***
fesisDelaware.2014 -0.8399893 0.1933260 -4.3449 1.548e-05 ***
fesisDelaware.2020 -1.2393062 0.4204901 -2.9473 0.0032865 **
fesisDistrictofColumbia.2008 -0.8310983 0.2445667 -3.3982 0.0007072 ***
fesisDistrictofColumbia.2012 1.3229144 0.2362754 5.5990 2.844e-08 ***
fesisHawaii.2009 -0.6895889 0.2104551 -3.2767 0.0010897 **
fesisHawaii.2015 -1.2459208 0.4203230 -2.9642 0.0031128 **
fesisHawaii.2016 2.5707359 0.5516525 4.6601 3.626e-06 ***
fesisHawaii.2017 -2.5835018 0.4782574 -5.4019 8.395e-08 ***
fesisHawaii.2019 1.5157025 0.3896021 3.8904 0.0001073 ***
fesisMississippi.2004 -1.7558491 0.2474077 -7.0970 2.543e-12 ***
fesisMississippi.2020 1.4807278 0.4014110 3.6888 0.0002385 ***
fesisMissouri.2002 1.3687571 0.3994047 3.4270 0.0006373 ***
fesisNebraska.2012 0.8909718 0.1765883 5.0455 5.449e-07 ***
fesisRhodeIsland.2005 -0.9298778 0.2191159 -4.2438 2.420e-05 ***
fesisSouthCarolina.2008 0.8283676 0.1841538 4.4982 7.726e-06 ***
fesisSouthDakota.2004 1.7498826 0.4493854 3.8939 0.0001057 ***
fesisSouthDakota.2005 -1.8630637 0.4494054 -4.1456 3.701e-05 ***
fesisSouthDakota.2008 1.4035214 0.2570149 5.4609 6.095e-08 ***
fesisSouthDakota.2018 -1.1090598 0.2566472 -4.3213 1.719e-05 ***
fesisWyoming.2017 -1.0628846 0.2468278 -4.3062 1.839e-05 ***
fesisWyoming.2020 1.9190851 0.4496200 4.2682 2.174e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.003841 1 0.950582
Ljung-Box ARCH(1) 8.251226 1 0.004072 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.38526
R-squared 0.93413
Log-lik.(n=1020) -425.39068 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:31:21 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 -0.0092808 0.0312467 -0.2970 0.7665309
lgdp 55.8803611 3.8466342 14.5271 < 2.2e-16 ***
lpop -43.9257648 2.3461798 -18.7223 < 2.2e-16 ***
lgdp_sq -2.0142042 0.2281298 -8.8292 < 2.2e-16 ***
avg_temp -0.1107625 0.0919310 -1.2048 0.2286171
idArizona 2.0188154 0.1282149 15.7456 < 2.2e-16 ***
idArkansas 0.9070326 0.3692894 2.4562 0.0142531 *
idCalifornia 4.3539444 0.1744727 24.9549 < 2.2e-16 ***
idColorado 2.3774003 0.1333789 17.8244 < 2.2e-16 ***
idConnecticut 3.0659125 0.1765459 17.3661 < 2.2e-16 ***
idDelaware 1.8754626 0.1391643 13.4766 < 2.2e-16 ***
idDistrictofColumbia -0.1914295 0.1342120 -1.4263 0.1541627
idFlorida 2.4721888 0.1348518 18.3326 < 2.2e-16 ***
idGeorgia 1.7644203 0.1249361 14.1226 < 2.2e-16 ***
idHawaii 0.4671183 0.1497461 3.1194 0.0018767 **
idIdaho -0.7562897 0.3684537 -2.0526 0.0404334 *
idIllinois 2.4902686 0.1356195 18.3622 < 2.2e-16 ***
idIndiana 1.2916854 0.1187670 10.8758 < 2.2e-16 ***
idIowa 0.3398426 0.1127826 3.0133 0.0026655 **
idKansas -0.0208333 0.1139653 -0.1828 0.8549978
idKentucky 0.1692158 0.1125499 1.5035 0.1331088
idLouisiana 0.3016788 0.1386703 2.1755 0.0298817 *
idMaine 0.1850064 0.1124770 1.6448 0.1003934
idMaryland 1.6390173 0.1225678 13.3723 < 2.2e-16 ***
idMassachusetts 3.1858635 0.1487658 21.4153 < 2.2e-16 ***
idMichigan 2.7072866 0.1396676 19.3838 < 2.2e-16 ***
idMinnesota 2.2683685 0.1321734 17.1621 < 2.2e-16 ***
idMissouri -0.3709220 0.3695271 -1.0038 0.3157884
idNebraska -0.6947272 0.1358340 -5.1145 3.933e-07 ***
idNevada 1.1911846 0.1391717 8.5591 < 2.2e-16 ***
idNewHampshire 1.1582792 0.1181063 9.8071 < 2.2e-16 ***
idNewJersey 2.3611892 0.1334637 17.6916 < 2.2e-16 ***
idNewMexico 1.2972920 0.1190764 10.8946 < 2.2e-16 ***
idNewYork 3.4160956 0.1538896 22.1984 < 2.2e-16 ***
idNorthCarolina 2.3710313 0.1334557 17.7664 < 2.2e-16 ***
idOhio 2.7150850 0.1402347 19.3610 < 2.2e-16 ***
idOklahoma 0.7253390 0.1141877 6.3522 3.546e-10 ***
idOregon 2.5194520 0.2338129 10.7755 < 2.2e-16 ***
idPennsylvania 2.7782281 0.1410868 19.6916 < 2.2e-16 ***
idRhodeIsland 1.3399933 0.2004905 6.6836 4.351e-11 ***
idSouthCarolina 1.4509575 0.1634236 8.8785 < 2.2e-16 ***
idSouthDakota -0.9563237 0.2246483 -4.2570 2.316e-05 ***
idTennessee 1.0597440 0.1164554 9.1000 < 2.2e-16 ***
idTexas 2.9299758 0.1436755 20.3930 < 2.2e-16 ***
idUtah 0.9718660 0.1161866 8.3647 2.640e-16 ***
idVermont -0.0033317 0.1124602 -0.0296 0.9763730
idVirginia 1.9584564 0.1269634 15.4254 < 2.2e-16 ***
idWashington 2.2589499 0.1314839 17.1804 < 2.2e-16 ***
idWisconsin 2.0246675 0.1276250 15.8642 < 2.2e-16 ***
time2001 -3.0637818 0.5950851 -5.1485 3.303e-07 ***
time2002 -2.9280695 0.5509049 -5.3150 1.382e-07 ***
time2003 -2.9572740 0.4798854 -6.1625 1.131e-09 ***
time2004 -3.1195183 0.3427911 -9.1003 < 2.2e-16 ***
time2005 -2.6597170 0.2636821 -10.0868 < 2.2e-16 ***
time2006 -2.0617623 0.2111884 -9.7627 < 2.2e-16 ***
time2007 -1.4345000 0.1831643 -7.8318 1.515e-14 ***
time2008 -1.1018015 0.2266246 -4.8618 1.399e-06 ***
time2009 -0.2394267 0.2667986 -0.8974 0.3697702
time2010 -0.2108958 0.2396073 -0.8802 0.3790282
time2011 -0.0330178 0.1740993 -0.1896 0.8496319
time2012 0.1674788 0.1574182 1.0639 0.2876881
time2013 -0.1242777 0.2130508 -0.5833 0.5598382
time2014 -0.3185226 0.2593453 -1.2282 0.2197380
time2015 0.0587148 0.1238260 0.4742 0.6355058
time2016 0.0744012 0.1123655 0.6621 0.5080736
fesisArkansas.2002 -1.5214079 0.4023791 -3.7810 0.0001677 ***
fesisArkansas.2006 -0.8292093 0.2749518 -3.0158 0.0026432 **
fesisArkansas.2009 1.3195795 0.2375462 5.5550 3.771e-08 ***
fesisArkansas.2019 -1.4051898 0.3780588 -3.7169 0.0002157 ***
fesisArkansas.2020 1.4053728 0.5124340 2.7425 0.0062318 **
fesisConnecticut.2009 -0.6695829 0.1656883 -4.0412 5.827e-05 ***
fesisDelaware.2014 -1.0382213 0.1705411 -6.0878 1.770e-09 ***
fesisDistrictofColumbia.2012 0.7591068 0.1635460 4.6415 4.035e-06 ***
fesisHawaii.2009 -0.7102460 0.1946671 -3.6485 0.0002807 ***
fesisHawaii.2015 -1.2533021 0.3885310 -3.2257 0.0013071 **
fesisHawaii.2016 2.5351276 0.5102992 4.9679 8.266e-07 ***
fesisHawaii.2017 -2.5691373 0.4424195 -5.8070 9.147e-09 ***
fesisHawaii.2019 1.5834316 0.3603973 4.3936 1.264e-05 ***
fesisIdaho.2002 1.1685477 0.3694031 3.1633 0.0016182 **
fesisKansas.2020 1.1974630 0.3694299 3.2414 0.0012384 **
fesisLouisiana.2011 -0.8881953 0.2144003 -4.1427 3.795e-05 ***
fesisLouisiana.2015 1.0652929 0.2335864 4.5606 5.893e-06 ***
fesisMissouri.2002 1.3845002 0.3693331 3.7486 0.0001905 ***
fesisNebraska.2012 0.8560351 0.1634758 5.2365 2.090e-07 ***
fesisNevada.2012 -0.7324251 0.1751870 -4.1808 3.223e-05 ***
fesisNevada.2019 1.0991792 0.2887018 3.8073 0.0001511 ***
fesisOregon.2004 -0.8275086 0.2264772 -3.6538 0.0002751 ***
fesisRhodeIsland.2005 -0.8566449 0.2057319 -4.1639 3.466e-05 ***
fesisRhodeIsland.2019 -0.7325288 0.2726017 -2.6872 0.0073544 **
fesisSouthCarolina.2008 0.8123147 0.1704581 4.7655 2.235e-06 ***
fesisSouthDakota.2004 1.7533830 0.4154350 4.2206 2.714e-05 ***
fesisSouthDakota.2005 -1.8736785 0.4153919 -4.5106 7.424e-06 ***
fesisSouthDakota.2008 1.3869153 0.2377162 5.8343 7.819e-09 ***
fesisSouthDakota.2018 -1.0867864 0.2375020 -4.5759 5.489e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.10409 1 0.746971
Ljung-Box ARCH(1) 8.24301 1 0.004091 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.35562
R-squared 0.93226
Log-lik.(n=900) -299.54506 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:31:11 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.8775e-02 3.4147e-02 1.7212 0.0856867 .
lgdp -1.1083e+02 1.9011e+01 -5.8295 8.798e-09 ***
lpop 1.0484e+02 1.4896e+01 7.0381 5.010e-12 ***
lgdp_sq 2.8287e+00 6.3777e-01 4.4353 1.081e-05 ***
avg_temp 3.6101e-01 1.1116e-01 3.2478 0.0012236 **
idCalifornia 2.1787e+00 1.1820e-01 18.4321 < 2.2e-16 ***
idColorado 3.3651e-01 8.9084e-02 3.7775 0.0001731 ***
idConnecticut 9.5773e-01 1.2274e-01 7.8030 2.454e-14 ***
idDelaware -1.3934e-01 1.0006e-01 -1.3925 0.1642375
idDistrictofColumbia -1.6017e+00 1.8636e-01 -8.5945 < 2.2e-16 ***
idFlorida 4.2541e-01 8.9499e-02 4.7533 2.472e-06 ***
idGeorgia -2.3881e-01 8.8738e-02 -2.6912 0.0073045 **
idIdaho -2.6848e+00 2.9802e-01 -9.0089 < 2.2e-16 ***
idIllinois 4.4048e-01 8.9748e-02 4.9080 1.168e-06 ***
idIndiana -6.7619e-01 9.2013e-02 -7.3489 6.090e-13 ***
idIowa -2.4466e+00 2.9861e-01 -8.1931 1.377e-15 ***
idKentucky -1.8349e+00 1.5481e-01 -11.8527 < 2.2e-16 ***
idMaryland -3.5184e-01 8.9499e-02 -3.9312 9.368e-05 ***
idMassachusetts 1.0891e+00 9.6667e-02 11.2662 < 2.2e-16 ***
idMichigan 6.4220e-01 9.1391e-02 7.0270 5.397e-12 ***
idMinnesota 2.3242e-01 8.8810e-02 2.6171 0.0090778 **
idMissouri -2.3558e+00 2.9306e-01 -8.0387 4.364e-15 ***
idNevada -7.8534e-01 1.0872e-01 -7.2233 1.441e-12 ***
idNewHampshire -8.0501e-01 9.2679e-02 -8.6860 < 2.2e-16 ***
idNewJersey 3.1996e-01 8.9105e-02 3.5908 0.0003548 ***
idNewMexico -6.7266e-01 9.1730e-02 -7.3331 6.793e-13 ***
idNewYork 1.3026e+00 1.0035e-01 12.9810 < 2.2e-16 ***
idNorthCarolina 3.2983e-01 8.9103e-02 3.7017 0.0002325 ***
idOhio 6.4792e-01 9.1661e-02 7.0687 4.086e-12 ***
idOklahoma -1.2025e+00 9.9488e-02 -12.0868 < 2.2e-16 ***
idOregon 4.5151e-01 1.7553e-01 2.5722 0.0103280 *
idPennsylvania 7.0798e-01 9.2083e-02 7.6884 5.600e-14 ***
idRhodeIsland -5.6008e-01 1.7766e-01 -3.1526 0.0016935 **
idSouthCarolina -5.4785e-01 1.2521e-01 -4.3755 1.414e-05 ***
idTennessee -8.9083e-01 9.4792e-02 -9.3978 < 2.2e-16 ***
idTexas 8.5053e-01 9.3481e-02 9.0984 < 2.2e-16 ***
idUtah -9.7642e-01 9.5213e-02 -10.2551 < 2.2e-16 ***
idVirginia -1.1298e+00 2.9083e-01 -3.8848 0.0001130 ***
idWashington 2.2588e-01 8.8682e-02 2.5471 0.0110947 *
idWisconsin 8.5477e-03 8.8403e-02 0.0967 0.9230028
time2001 1.6240e+01 3.4135e+00 4.7574 2.423e-06 ***
time2002 1.5399e+01 3.1873e+00 4.8313 1.697e-06 ***
time2003 1.5331e+01 2.9933e+00 5.1218 4.006e-07 ***
time2004 1.5084e+01 2.9170e+00 5.1709 3.115e-07 ***
time2005 1.4482e+01 2.5818e+00 5.6092 3.022e-08 ***
time2006 1.3084e+01 2.2429e+00 5.8336 8.598e-09 ***
time2007 1.1902e+01 1.9492e+00 6.1062 1.765e-09 ***
time2008 1.0138e+01 1.7644e+00 5.7459 1.412e-08 ***
time2009 5.6085e+00 1.2999e+00 4.3146 1.851e-05 ***
time2010 5.2490e+00 1.2617e+00 4.1601 3.614e-05 ***
time2011 5.0596e+00 1.1881e+00 4.2585 2.366e-05 ***
time2012 3.8529e+00 8.6392e-01 4.4598 9.681e-06 ***
time2013 3.4718e+00 8.9594e-01 3.8751 0.0001175 ***
time2014 1.4695e+00 5.2357e-01 2.8067 0.0051565 **
time2015 9.6876e-01 4.1102e-01 2.3570 0.0187240 *
time2016 1.9035e-01 2.2103e-01 0.8612 0.3894496
fesisConnecticut.2009 -5.9436e-01 1.3130e-01 -4.5266 7.142e-06 ***
fesisDelaware.2014 -8.0790e-01 1.4221e-01 -5.6812 2.028e-08 ***
fesisDelaware.2020 -1.1245e+00 3.0633e-01 -3.6707 0.0002619 ***
fesisDistrictofColumbia.2004 -1.4017e+00 3.2759e-01 -4.2788 2.165e-05 ***
fesisDistrictofColumbia.2005 1.4217e+00 3.2820e-01 4.3318 1.716e-05 ***
fesisDistrictofColumbia.2008 -1.9083e+00 3.2938e-01 -5.7935 1.080e-08 ***
fesisDistrictofColumbia.2009 1.0338e+00 3.5292e-01 2.9293 0.0035173 **
fesisDistrictofColumbia.2011 1.0701e+00 2.2573e-01 4.7404 2.628e-06 ***
fesisIdaho.2002 1.1934e+00 2.9159e-01 4.0929 4.803e-05 ***
fesisIowa.2002 1.8435e+00 4.0152e-01 4.5915 5.296e-06 ***
fesisIowa.2003 -9.6477e-01 2.9289e-01 -3.2940 0.0010419 **
fesisKentucky.2006 -1.2805e+00 3.1066e-01 -4.1219 4.249e-05 ***
fesisKentucky.2007 1.5284e+00 2.9358e-01 5.2061 2.598e-07 ***
fesisMissouri.2002 1.4279e+00 2.9144e-01 4.8994 1.218e-06 ***
fesisNevada.2012 -6.6700e-01 1.3864e-01 -4.8111 1.872e-06 ***
fesisNevada.2019 1.0993e+00 2.2748e-01 4.8323 1.690e-06 ***
fesisOregon.2004 -7.5273e-01 1.7923e-01 -4.1997 3.050e-05 ***
fesisRhodeIsland.2004 -8.3509e-01 1.8065e-01 -4.6227 4.579e-06 ***
fesisRhodeIsland.2019 -7.3543e-01 2.1434e-01 -3.4311 0.0006397 ***
fesisSouthCarolina.2008 7.8874e-01 1.3569e-01 5.8128 9.676e-09 ***
fesisVirginia.2002 1.1318e+00 2.9156e-01 3.8820 0.0001143 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0014239 1 0.9699
Ljung-Box ARCH(1) 1.3909222 1 0.2382
SE of regression 0.27952
R-squared 0.94260
Log-lik.(n=720) -65.37083 0.05
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:28:57 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 -0.0076845 0.0273543 -0.2809 0.7788361
lgdp 54.3264329 3.4563162 15.7180 < 2.2e-16 ***
lpop -41.1471584 2.1435590 -19.1957 < 2.2e-16 ***
lgdp_sq -2.0501169 0.2027041 -10.1138 < 2.2e-16 ***
avg_temp -0.1103912 0.0812268 -1.3590 0.1744814
idAlaska -0.1141520 0.2713140 -0.4207 0.6740501
idArizona 2.6710236 0.2525773 10.5751 < 2.2e-16 ***
idArkansas 1.5148347 0.4052981 3.7376 0.0001979 ***
idCalifornia 5.0024841 0.2731195 18.3161 < 2.2e-16 ***
idColorado 3.0290908 0.2546374 11.8957 < 2.2e-16 ***
idConnecticut 3.6888077 0.2745908 13.4338 < 2.2e-16 ***
idDelaware 2.5181170 0.2571571 9.7921 < 2.2e-16 ***
idDistrictofColumbia 0.7340525 0.2656220 2.7635 0.0058382 **
idFlorida 3.1237413 0.2552363 12.2386 < 2.2e-16 ***
idGeorgia 2.4169941 0.2513013 9.6179 < 2.2e-16 ***
idHawaii 1.0945042 0.2621031 4.1759 3.266e-05 ***
idIdaho -0.1498822 0.4046646 -0.3704 0.7111844
idIllinois 3.1417504 0.2555504 12.2941 < 2.2e-16 ***
idIndiana 1.9450884 0.2489672 7.8126 1.602e-14 ***
idIowa 0.0832724 0.4046638 0.2058 0.8370093
idKansas 0.4675732 0.2551318 1.8327 0.0671908 .
idKentucky 0.7107668 0.2767631 2.5681 0.0103895 *
idLouisiana 0.9312601 0.2571205 3.6219 0.0003093 ***
idMaine 0.8710698 0.3293336 2.6449 0.0083168 **
idMaryland 2.2918814 0.2503951 9.1531 < 2.2e-16 ***
idMassachusetts 3.8362425 0.2611355 14.6906 < 2.2e-16 ***
idMichigan 3.3584095 0.2572290 13.0561 < 2.2e-16 ***
idMinnesota 2.9201749 0.2541510 11.4899 < 2.2e-16 ***
idMississippi 1.1798512 0.3011836 3.9174 9.649e-05 ***
idMissouri 0.2341631 0.4053666 0.5777 0.5636440
idMontana -0.0041040 0.2575735 -0.0159 0.9872912
idNebraska 0.8386588 0.4048851 2.0714 0.0386187 *
idNevada 1.8259375 0.2572492 7.0979 2.618e-12 ***
idNewHampshire 1.8117899 0.2487222 7.2844 7.210e-13 ***
idNewJersey 3.0128717 0.2546717 11.8304 < 2.2e-16 ***
idNewMexico 1.9506464 0.2490823 7.8313 1.394e-14 ***
idNewYork 4.0660833 0.2634151 15.4360 < 2.2e-16 ***
idNorthCarolina 3.0227145 0.2546685 11.8692 < 2.2e-16 ***
idNorthDakota -0.2117678 0.2776058 -0.7628 0.4457666
idOhio 3.3661593 0.2574671 13.0741 < 2.2e-16 ***
idOklahoma 1.3796816 0.2472845 5.5793 3.219e-08 ***
idOregon 2.4686165 0.2513906 9.8198 < 2.2e-16 ***
idPennsylvania 3.4292299 0.2578262 13.3005 < 2.2e-16 ***
idRhodeIsland 1.9405944 0.2882146 6.7332 3.003e-11 ***
idSouthCarolina 2.0769603 0.2684687 7.7363 2.815e-14 ***
idSouthDakota -0.3484651 0.3026001 -1.1516 0.2498126
idTennessee 1.7135528 0.2481137 6.9063 9.562e-12 ***
idTexas 3.5807620 0.2589273 13.8292 < 2.2e-16 ***
idUtah 1.6257286 0.2480151 6.5550 9.499e-11 ***
idVermont 0.6012557 0.2592509 2.3192 0.0206135 *
idVirginia 1.5125409 0.4072045 3.7145 0.0002166 ***
idWashington 2.9108238 0.2538742 11.4656 < 2.2e-16 ***
idWestVirginia 0.1550640 0.2539457 0.6106 0.5416106
idWisconsin 2.6769390 0.2523459 10.6082 < 2.2e-16 ***
idWyoming 0.3388218 0.2493511 1.3588 0.1745555
time2001 -3.3191570 0.5252531 -6.3192 4.184e-10 ***
time2002 -3.1631690 0.4870073 -6.4951 1.390e-10 ***
time2003 -3.0830873 0.4230887 -7.2871 7.075e-13 ***
time2004 -3.1129044 0.3034281 -10.2591 < 2.2e-16 ***
time2005 -2.7126447 0.2343857 -11.5734 < 2.2e-16 ***
time2006 -1.9925813 0.1886515 -10.5622 < 2.2e-16 ***
time2007 -1.4032318 0.1634795 -8.5835 < 2.2e-16 ***
time2008 -1.1021355 0.1996334 -5.5208 4.449e-08 ***
time2009 -0.3794279 0.2342395 -1.6198 0.1056294
time2010 -0.2791627 0.2103562 -1.3271 0.1848233
time2011 -0.1527822 0.1535140 -0.9952 0.3198982
time2012 0.0670550 0.1396908 0.4800 0.6313301
time2013 -0.2056422 0.1871053 -1.0991 0.2720388
time2014 -0.4030057 0.2275350 -1.7712 0.0768787 .
time2015 0.0080276 0.1093229 0.0734 0.9414803
time2016 -0.0134230 0.0996372 -0.1347 0.8928654
fesisAlabama.2003 0.9119329 0.4083301 2.2333 0.0257798 *
fesisAlabama.2004 -1.0942241 0.4715769 -2.3204 0.0205511 *
fesisAlabama.2005 1.0652731 0.3645587 2.9221 0.0035664 **
fesisAlabama.2010 -1.1224200 0.3644785 -3.0795 0.0021381 **
fesisAlabama.2011 1.2251966 0.3593629 3.4094 0.0006809 ***
fesisAlabama.2017 -1.4749139 0.3594131 -4.1037 4.446e-05 ***
fesisAlabama.2018 1.7872768 0.4079861 4.3807 1.326e-05 ***
fesisAlabama.2020 -1.1177854 0.4094365 -2.7301 0.0064595 **
fesisAlaska.2007 -1.2010816 0.1870659 -6.4206 2.223e-10 ***
fesisAlaska.2014 0.7793084 0.1783108 4.3705 1.388e-05 ***
fesisArkansas.2002 -1.8644347 0.3845480 -4.8484 1.473e-06 ***
fesisArkansas.2005 1.4800537 0.3843806 3.8505 0.0001265 ***
fesisArkansas.2006 -1.9462341 0.3840293 -5.0679 4.908e-07 ***
fesisArkansas.2009 1.5910736 0.2363506 6.7318 3.029e-11 ***
fesisArkansas.2015 -1.5410691 0.3593426 -4.2886 1.998e-05 ***
fesisArkansas.2016 1.6116889 0.4716554 3.4171 0.0006621 ***
fesisArkansas.2017 -1.1249779 0.4723807 -2.3815 0.0174549 *
fesisArkansas.2018 1.3491668 0.4712685 2.8628 0.0042989 **
fesisArkansas.2019 -1.8818923 0.4718158 -3.9886 7.201e-05 ***
fesisArkansas.2020 1.3005651 0.4736556 2.7458 0.0061601 **
fesisConnecticut.2009 -0.6224570 0.1533126 -4.0601 5.346e-05 ***
fesisDelaware.2014 -0.8422102 0.1657980 -5.0797 4.621e-07 ***
fesisDelaware.2020 -1.1676746 0.3597662 -3.2456 0.0012163 **
fesisDistrictofColumbia.2008 -1.6340144 0.3561868 -4.5875 5.140e-06 ***
fesisDistrictofColumbia.2009 1.1210632 0.3867450 2.8987 0.0038406 **
fesisDistrictofColumbia.2012 1.0239872 0.2257251 4.5364 6.519e-06 ***
fesisHawaii.2009 -0.6636608 0.1801845 -3.6832 0.0002444 ***
fesisHawaii.2015 -1.2767866 0.3593606 -3.5529 0.0004013 ***
fesisHawaii.2016 2.6042856 0.4717722 5.5202 4.463e-08 ***
fesisHawaii.2017 -2.6147969 0.4091309 -6.3911 2.675e-10 ***
fesisHawaii.2019 1.5748081 0.3332937 4.7250 2.680e-06 ***
fesisIdaho.2002 1.2195715 0.3419262 3.5668 0.0003810 ***
fesisIowa.2002 1.8584890 0.4707722 3.9477 8.522e-05 ***
fesisIowa.2003 -0.9489746 0.3429033 -2.7675 0.0057686 **
fesisKansas.2012 0.4022472 0.1551870 2.5920 0.0097006 **
fesisKansas.2020 0.9173295 0.3534225 2.5956 0.0096019 **
fesisKentucky.2006 -1.2521130 0.3645006 -3.4351 0.0006201 ***
fesisKentucky.2007 1.5037928 0.3445361 4.3647 1.425e-05 ***
fesisLouisiana.2011 -0.8260344 0.1982085 -4.1675 3.385e-05 ***
fesisLouisiana.2015 1.0468365 0.2159283 4.8481 1.475e-06 ***
fesisMaine.2003 -0.9606009 0.3327803 -2.8866 0.0039902 **
fesisMaine.2005 0.9045335 0.2784968 3.2479 0.0012068 **
fesisMaine.2010 -0.9670602 0.3650392 -2.6492 0.0082138 **
fesisMaine.2011 1.2839611 0.3490717 3.6782 0.0002492 ***
fesisMississippi.2004 -1.4204512 0.2363484 -6.0100 2.721e-09 ***
fesisMississippi.2010 -0.4734285 0.1730867 -2.7352 0.0063602 **
fesisMississippi.2020 1.7220197 0.3493871 4.9287 9.901e-07 ***
fesisMissouri.2002 1.4359584 0.3418363 4.2007 2.933e-05 ***
fesisMontana.2011 1.0965354 0.3490539 3.1415 0.0017377 **
fesisMontana.2012 -1.6988906 0.4708104 -3.6084 0.0003255 ***
fesisMontana.2013 0.7543455 0.3541579 2.1300 0.0334526 *
fesisNebraska.2002 -1.3349298 0.3844380 -3.4724 0.0005411 ***
fesisNebraska.2005 0.4996950 0.2298236 2.1743 0.0299534 *
fesisNebraska.2012 0.8502831 0.1863621 4.5625 5.775e-06 ***
fesisNebraska.2018 -0.9524743 0.3597667 -2.6475 0.0082553 **
fesisNebraska.2019 1.3648121 0.4078739 3.3462 0.0008543 ***
fesisNevada.2012 -0.6858979 0.1621027 -4.2313 2.569e-05 ***
fesisNevada.2019 1.0811871 0.2670342 4.0489 5.603e-05 ***
fesisNorthDakota.2006 1.1304349 0.3648563 3.0983 0.0020085 **
fesisNorthDakota.2007 -2.1367522 0.4725369 -4.5219 6.973e-06 ***
fesisNorthDakota.2008 1.0496872 0.3478613 3.0175 0.0026221 **
fesisNorthDakota.2020 1.0259854 0.3468026 2.9584 0.0031755 **
fesisRhodeIsland.2005 -0.8809478 0.1878272 -4.6902 3.165e-06 ***
fesisSouthCarolina.2008 0.8527999 0.1579268 5.4000 8.591e-08 ***
fesisSouthDakota.2004 1.7387750 0.3842288 4.5254 6.862e-06 ***
fesisSouthDakota.2005 -1.8036132 0.3842743 -4.6936 3.115e-06 ***
fesisSouthDakota.2008 1.3924966 0.2199651 6.3305 3.899e-10 ***
fesisSouthDakota.2018 -1.0821505 0.2196882 -4.9258 1.004e-06 ***
fesisVermont.2010 0.7896120 0.2223921 3.5505 0.0004049 ***
fesisVermont.2013 -0.9586979 0.2259158 -4.2436 2.434e-05 ***
fesisVirginia.2002 1.1560622 0.3419090 3.3812 0.0007537 ***
fesisWestVirginia.2013 -0.5743768 0.1532266 -3.7485 0.0001895 ***
fesisWyoming.2017 -1.0645866 0.2115178 -5.0331 5.860e-07 ***
fesisWyoming.2020 1.9905054 0.3846331 5.1751 2.827e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00021809 1 0.98822
Ljung-Box ARCH(1) 5.53455948 1 0.01864 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.32924
R-squared 0.95434
Log-lik.(n=1020) -241.62813 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:31:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 -0.006371 0.028280 -0.2253 0.8218158
lgdp 57.650664 3.405314 16.9296 < 2.2e-16 ***
lpop -44.198163 2.076601 -21.2839 < 2.2e-16 ***
lgdp_sq -2.171144 0.201567 -10.7713 < 2.2e-16 ***
avg_temp -0.058112 0.080886 -0.7184 0.4726987
idArizona 2.667654 0.236126 11.2976 < 2.2e-16 ***
idArkansas 1.512767 0.376769 4.0151 6.523e-05 ***
idCalifornia 4.996096 0.259272 19.2697 < 2.2e-16 ***
idColorado 3.025295 0.238457 12.6870 < 2.2e-16 ***
idConnecticut 3.695740 0.257908 14.3297 < 2.2e-16 ***
idDelaware 2.519471 0.240182 10.4898 < 2.2e-16 ***
idDistrictofColumbia 0.935092 0.279849 3.3414 0.0008737 ***
idFlorida 3.119832 0.239134 13.0464 < 2.2e-16 ***
idGeorgia 2.413925 0.234682 10.2859 < 2.2e-16 ***
idHawaii 1.105132 0.243738 4.5341 6.706e-06 ***
idIdaho -0.153097 0.376062 -0.4071 0.6840427
idIllinois 3.137783 0.239489 13.1020 < 2.2e-16 ***
idIndiana 1.942702 0.232045 8.3721 2.661e-16 ***
idIowa 0.080158 0.376059 0.2132 0.8312638
idKansas 0.475999 0.237310 2.0058 0.0452258 *
idKentucky 0.703063 0.257265 2.7328 0.0064231 **
idLouisiana 0.941484 0.239164 3.9366 9.014e-05 ***
idMaine 0.871448 0.305916 2.8486 0.0045077 **
idMaryland 2.289051 0.233657 9.7966 < 2.2e-16 ***
idMassachusetts 3.831368 0.245798 15.5874 < 2.2e-16 ***
idMichigan 3.354147 0.241387 13.8953 < 2.2e-16 ***
idMinnesota 2.916474 0.237906 12.2589 < 2.2e-16 ***
idMissouri 0.229860 0.376889 0.6099 0.5421164
idNebraska 0.836146 0.376302 2.2220 0.0265728 *
idNevada 1.832686 0.239698 7.6458 6.193e-14 ***
idNewHampshire 1.809492 0.231768 7.8073 1.909e-14 ***
idNewJersey 3.009069 0.238496 12.6169 < 2.2e-16 ***
idNewMexico 1.948220 0.232175 8.3912 2.293e-16 ***
idNewYork 4.060886 0.248368 16.3503 < 2.2e-16 ***
idNorthCarolina 3.018913 0.238492 12.6583 < 2.2e-16 ***
idOhio 3.361856 0.241656 13.9117 < 2.2e-16 ***
idOklahoma 1.378068 0.230156 5.9876 3.266e-09 ***
idOregon 3.130622 0.287285 10.8973 < 2.2e-16 ***
idPennsylvania 3.424867 0.242062 14.1487 < 2.2e-16 ***
idRhodeIsland 1.939221 0.268327 7.2271 1.190e-12 ***
idSouthCarolina 2.081336 0.250213 8.3183 4.040e-16 ***
idSouthDakota -0.335338 0.281474 -1.1914 0.2338785
idTennessee 1.711500 0.231084 7.4064 3.413e-13 ***
idTexas 3.576222 0.243306 14.6985 < 2.2e-16 ***
idUtah 1.623720 0.230973 7.0299 4.560e-12 ***
idVermont 0.277153 0.266111 1.0415 0.2979735
idVirginia 1.507203 0.379020 3.9766 7.650e-05 ***
idWashington 2.907179 0.237593 12.2359 < 2.2e-16 ***
idWisconsin 2.673621 0.235864 11.3354 < 2.2e-16 ***
time2001 -3.415306 0.525085 -6.5043 1.404e-10 ***
time2002 -3.298496 0.486158 -6.7848 2.318e-11 ***
time2003 -3.200083 0.423362 -7.5587 1.158e-13 ***
time2004 -3.200690 0.302886 -10.5673 < 2.2e-16 ***
time2005 -2.791626 0.233060 -11.9781 < 2.2e-16 ***
time2006 -2.151418 0.186882 -11.5122 < 2.2e-16 ***
time2007 -1.565009 0.162019 -9.6594 < 2.2e-16 ***
time2008 -1.145921 0.199931 -5.7316 1.428e-08 ***
time2009 -0.356641 0.235216 -1.5162 0.1298724
time2010 -0.225072 0.211326 -1.0650 0.2871896
time2011 -0.134983 0.153512 -0.8793 0.3795134
time2012 0.034341 0.139054 0.2470 0.8050027
time2013 -0.098248 0.187259 -0.5247 0.5999694
time2014 -0.276251 0.227804 -1.2127 0.2256281
time2015 0.016774 0.109150 0.1537 0.8779011
time2016 -0.028979 0.098735 -0.2935 0.7692182
fesisAlabama.2003 0.948401 0.380052 2.4955 0.0127879 *
fesisAlabama.2004 -1.165077 0.439075 -2.6535 0.0081308 **
fesisAlabama.2005 1.119890 0.339284 3.3007 0.0010087 **
fesisAlabama.2010 -1.139052 0.338977 -3.3603 0.0008171 ***
fesisAlabama.2011 1.202606 0.334299 3.5974 0.0003419 ***
fesisAlabama.2017 -1.484675 0.334339 -4.4406 1.028e-05 ***
fesisAlabama.2018 1.795599 0.379679 4.7293 2.680e-06 ***
fesisAlabama.2020 -1.036286 0.380956 -2.7202 0.0066709 **
fesisArkansas.2002 -1.860388 0.357824 -5.1992 2.567e-07 ***
fesisArkansas.2005 1.440452 0.357740 4.0265 6.221e-05 ***
fesisArkansas.2006 -1.865925 0.357171 -5.2242 2.254e-07 ***
fesisArkansas.2009 1.541152 0.219997 7.0053 5.379e-12 ***
fesisArkansas.2015 -1.553199 0.334216 -4.6473 3.956e-06 ***
fesisArkansas.2016 1.602717 0.439015 3.6507 0.0002792 ***
fesisArkansas.2017 -1.125076 0.439762 -2.5584 0.0107065 *
fesisArkansas.2018 1.379174 0.438557 3.1448 0.0017258 **
fesisArkansas.2019 -1.926347 0.439251 -4.3855 1.318e-05 ***
fesisArkansas.2020 1.407768 0.441213 3.1907 0.0014770 **
fesisConnecticut.2009 -0.641050 0.142779 -4.4898 8.219e-06 ***
fesisDelaware.2014 -1.020952 0.146986 -6.9459 8.006e-12 ***
fesisDistrictofColumbia.2004 -1.358200 0.357501 -3.7991 0.0001566 ***
fesisDistrictofColumbia.2005 0.796604 0.331830 2.4006 0.0166029 *
fesisDistrictofColumbia.2012 0.859039 0.158639 5.4151 8.194e-08 ***
fesisHawaii.2009 -0.681589 0.167600 -4.0668 5.258e-05 ***
fesisHawaii.2015 -1.288820 0.334234 -3.8560 0.0001249 ***
fesisHawaii.2016 2.595388 0.439149 5.9100 5.135e-09 ***
fesisHawaii.2017 -2.600304 0.380861 -6.8274 1.754e-11 ***
fesisHawaii.2019 1.599562 0.310222 5.1562 3.207e-07 ***
fesisIdaho.2002 1.221723 0.318201 3.8395 0.0001334 ***
fesisIowa.2002 1.865504 0.438010 4.2590 2.307e-05 ***
fesisIowa.2003 -0.954187 0.319183 -2.9895 0.0028837 **
fesisKansas.2012 0.372572 0.144283 2.5822 0.0100000 **
fesisKansas.2020 1.001190 0.328644 3.0464 0.0023949 **
fesisKentucky.2006 -1.212546 0.339075 -3.5760 0.0003706 ***
fesisKentucky.2007 1.471014 0.320418 4.5909 5.152e-06 ***
fesisLouisiana.2011 -0.851543 0.184664 -4.6113 4.684e-06 ***
fesisLouisiana.2015 1.052036 0.201081 5.2319 2.165e-07 ***
fesisMaine.2003 -0.960165 0.309619 -3.1011 0.0019982 **
fesisMaine.2005 0.924233 0.259169 3.5661 0.0003847 ***
fesisMaine.2010 -0.984590 0.339659 -2.8988 0.0038529 **
fesisMaine.2011 1.268447 0.324743 3.9060 0.0001021 ***
fesisMissouri.2002 1.438467 0.318120 4.5218 7.098e-06 ***
fesisNebraska.2002 -1.330046 0.357710 -3.7182 0.0002152 ***
fesisNebraska.2005 0.810200 0.282726 2.8657 0.0042747 **
fesisNebraska.2007 0.850770 0.379031 2.2446 0.0250777 *
fesisNebraska.2008 -1.734266 0.357298 -4.8538 1.466e-06 ***
fesisNebraska.2011 1.033110 0.226133 4.5686 5.716e-06 ***
fesisNebraska.2016 0.878631 0.260301 3.3754 0.0007739 ***
fesisNebraska.2018 -1.443724 0.378972 -3.8096 0.0001503 ***
fesisNebraska.2019 1.375213 0.379538 3.6234 0.0003099 ***
fesisNevada.2012 -0.711584 0.150947 -4.7141 2.881e-06 ***
fesisNevada.2019 1.109433 0.248445 4.4655 9.183e-06 ***
fesisOregon.2004 -0.782466 0.195193 -4.0087 6.700e-05 ***
fesisRhodeIsland.2005 -0.790697 0.177408 -4.4570 9.548e-06 ***
fesisRhodeIsland.2019 -0.723841 0.234653 -3.0847 0.0021102 **
fesisSouthCarolina.2008 0.841023 0.147071 5.7185 1.538e-08 ***
fesisSouthDakota.2004 1.692640 0.357554 4.7339 2.621e-06 ***
fesisSouthDakota.2005 -1.755731 0.357566 -4.9102 1.111e-06 ***
fesisSouthDakota.2008 1.838454 0.253353 7.2565 9.712e-13 ***
fesisSouthDakota.2011 -0.722813 0.209701 -3.4469 0.0005979 ***
fesisSouthDakota.2019 -1.576574 0.328741 -4.7958 1.945e-06 ***
fesisSouthDakota.2020 1.085007 0.439054 2.4712 0.0136801 *
fesisVermont.2005 0.791794 0.190759 4.1508 3.684e-05 ***
fesisVermont.2013 -0.648183 0.155531 -4.1675 3.428e-05 ***
fesisVirginia.2002 1.158251 0.318184 3.6402 0.0002906 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 4.7503e-06 1 0.9983
Ljung-Box ARCH(1) 1.6985e+01 1 3.767e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.30581
R-squared 0.95214
Log-lik.(n=900) -145.72737 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:31:18 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.064954 0.033311 1.9500 0.0516273 .
lgdp -114.177924 18.091405 -6.3112 5.239e-10 ***
lpop 107.953954 14.168323 7.6194 9.448e-14 ***
lgdp_sq 2.915136 0.607299 4.8002 1.984e-06 ***
avg_temp 0.375571 0.105714 3.5527 0.0004099 ***
idCalifornia 2.164520 0.112874 19.1765 < 2.2e-16 ***
idColorado 0.334508 0.083645 3.9992 7.115e-05 ***
idConnecticut 0.953566 0.115687 8.2426 9.877e-16 ***
idDelaware -0.141453 0.093934 -1.5059 0.1326035
idDistrictofColumbia -1.602157 0.175767 -9.1152 < 2.2e-16 ***
idFlorida 0.422874 0.084066 5.0303 6.403e-07 ***
idGeorgia -0.237397 0.083294 -2.8501 0.0045140 **
idIdaho -2.676928 0.280495 -9.5436 < 2.2e-16 ***
idIllinois 0.437670 0.084318 5.1907 2.834e-07 ***
idIndiana -0.671570 0.086610 -7.7540 3.615e-14 ***
idIowa -2.438189 0.281092 -8.6740 < 2.2e-16 ***
idKentucky -2.624723 0.277581 -9.4557 < 2.2e-16 ***
idMaryland -0.349302 0.084065 -4.1551 3.702e-05 ***
idMassachusetts 1.081980 0.091306 11.8500 < 2.2e-16 ***
idMichigan 0.637998 0.085981 7.4202 3.820e-13 ***
idMinnesota 0.230864 0.083367 2.7693 0.0057847 **
idMissouri -2.353064 0.275491 -8.5413 < 2.2e-16 ***
idNevada -0.783744 0.102292 -7.6619 6.987e-14 ***
idNewHampshire -0.799970 0.087283 -9.1652 < 2.2e-16 ***
idNewJersey 0.317923 0.083667 3.7999 0.0001589 ***
idNewMexico -0.514689 0.111962 -4.5970 5.186e-06 ***
idNewYork 1.294013 0.095010 13.6197 < 2.2e-16 ***
idNorthCarolina 0.327800 0.083665 3.9180 9.909e-05 ***
idOhio 0.643533 0.086254 7.4609 2.879e-13 ***
idOklahoma -1.194219 0.094146 -12.6848 < 2.2e-16 ***
idOregon 0.437574 0.164900 2.6536 0.0081662 **
idPennsylvania 0.703306 0.086681 8.1137 2.596e-15 ***
idRhodeIsland -0.566680 0.167005 -3.3932 0.0007343 ***
idSouthCarolina 0.069735 0.273757 0.2547 0.7990121
idTennessee -0.856113 0.202523 -4.2272 2.718e-05 ***
idTexas 0.845024 0.088093 9.5924 < 2.2e-16 ***
idUtah -0.907528 0.091430 -9.9260 < 2.2e-16 ***
idVirginia -1.131911 0.273246 -4.1425 3.907e-05 ***
idWashington 0.224585 0.083237 2.6981 0.0071606 **
idWisconsin -0.137572 0.093926 -1.4647 0.1435065
time2001 16.743379 3.250006 5.1518 3.460e-07 ***
time2002 15.864723 3.034497 5.2281 2.336e-07 ***
time2003 15.832626 2.849587 5.5561 4.081e-08 ***
time2004 15.514802 2.776583 5.5877 3.433e-08 ***
time2005 14.905580 2.457179 6.0661 2.266e-09 ***
time2006 13.464494 2.134389 6.3084 5.329e-10 ***
time2007 12.242183 1.854777 6.6004 8.741e-11 ***
time2008 10.423162 1.679109 6.2076 9.790e-10 ***
time2009 5.769221 1.237944 4.6603 3.858e-06 ***
time2010 5.409380 1.201569 4.5019 8.029e-06 ***
time2011 5.215161 1.131370 4.6096 4.891e-06 ***
time2012 3.948774 0.822683 4.7999 1.987e-06 ***
time2013 3.564223 0.853057 4.1782 3.356e-05 ***
time2014 1.513100 0.498766 3.0337 0.0025158 **
time2015 0.967727 0.391476 2.4720 0.0137004 *
time2016 0.168119 0.210499 0.7987 0.4247856
fesisConnecticut.2009 -0.594119 0.123581 -4.8075 1.915e-06 ***
fesisDelaware.2014 -0.798001 0.133723 -5.9676 4.028e-09 ***
fesisDelaware.2020 -1.099785 0.287555 -3.8246 0.0001441 ***
fesisDistrictofColumbia.2004 -1.362580 0.307597 -4.4298 1.113e-05 ***
fesisDistrictofColumbia.2005 1.403220 0.308117 4.5542 6.320e-06 ***
fesisDistrictofColumbia.2008 -1.913916 0.309232 -6.1893 1.092e-09 ***
fesisDistrictofColumbia.2009 1.022378 0.331761 3.0817 0.0021487 **
fesisDistrictofColumbia.2011 1.089386 0.245705 4.4337 1.094e-05 ***
fesisDistrictofColumbia.2014 -0.712034 0.308296 -2.3096 0.0212355 *
fesisDistrictofColumbia.2015 1.095849 0.326176 3.3597 0.0008276 ***
fesisDistrictofColumbia.2017 -1.090527 0.326666 -3.3384 0.0008927 ***
fesisDistrictofColumbia.2018 0.887062 0.307592 2.8839 0.0040627 **
fesisIdaho.2002 1.195996 0.273983 4.3652 1.485e-05 ***
fesisIowa.2002 1.855071 0.377036 4.9201 1.107e-06 ***
fesisIowa.2003 -1.285574 0.380625 -3.3775 0.0007767 ***
fesisIowa.2004 0.953183 0.378432 2.5188 0.0120243 *
fesisIowa.2005 -0.662896 0.274576 -2.4143 0.0160528 *
fesisKentucky.2002 1.002196 0.298500 3.3574 0.0008343 ***
fesisKentucky.2006 -1.476854 0.297505 -4.9641 8.905e-07 ***
fesisKentucky.2007 1.523063 0.275533 5.5277 4.764e-08 ***
fesisMissouri.2002 1.432153 0.273839 5.2299 2.314e-07 ***
fesisNevada.2012 -0.541430 0.136933 -3.9540 8.562e-05 ***
fesisNevada.2018 -0.825753 0.287620 -2.8710 0.0042301 **
fesisNevada.2019 1.821950 0.326220 5.5850 3.484e-08 ***
fesisNewMexico.2009 -0.635633 0.180801 -3.5157 0.0004703 ***
fesisNewMexico.2012 0.506324 0.177526 2.8521 0.0044861 **
fesisOregon.2004 -0.734799 0.168513 -4.3605 1.517e-05 ***
fesisRhodeIsland.2004 -0.694536 0.188771 -3.6792 0.0002540 ***
fesisRhodeIsland.2010 -0.323434 0.136336 -2.3723 0.0179770 *
fesisSouthCarolina.2002 -0.714766 0.288102 -2.4809 0.0133645 *
fesisSouthCarolina.2008 0.883927 0.133953 6.5988 8.829e-11 ***
fesisTennessee.2003 -1.155999 0.326193 -3.5439 0.0004236 ***
fesisTennessee.2004 1.190440 0.274142 4.3424 1.643e-05 ***
fesisUtah.2019 -1.023792 0.273499 -3.7433 0.0001983 ***
fesisUtah.2020 0.797802 0.378314 2.1088 0.0353546 *
fesisVirginia.2002 1.134576 0.273954 4.1415 3.923e-05 ***
fesisWisconsin.2014 0.418185 0.125531 3.3313 0.0009151 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.57552542 1 0.4481
Ljung-Box ARCH(1) 0.00032783 1 0.9856
SE of regression 0.26229
R-squared 0.95072
Log-lik.(n=720) -11.56292 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:21:11 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.015078 0.030164 0.4999 0.6172750
lgdp 44.394562 3.211407 13.8240 < 2.2e-16 ***
lpop -34.191530 1.969717 -17.3586 < 2.2e-16 ***
lgdp_sq -1.627163 0.190534 -8.5400 < 2.2e-16 ***
avg_temp -0.119859 0.077170 -1.5532 0.1207213
idAlaska -0.529824 0.150642 -3.5171 0.0004575 ***
idArizona 1.700218 0.113304 15.0059 < 2.2e-16 ***
idArkansas 0.748298 0.330600 2.2635 0.0238390 *
idCalifornia 3.927274 0.156302 25.1262 < 2.2e-16 ***
idColorado 2.034369 0.117869 17.2596 < 2.2e-16 ***
idConnecticut 2.656130 0.156094 17.0162 < 2.2e-16 ***
idDelaware 1.562183 0.123129 12.6873 < 2.2e-16 ***
idDistrictofColumbia 0.093210 0.140938 0.6614 0.5085519
idFlorida 2.122118 0.119169 17.8076 < 2.2e-16 ***
idGeorgia 1.465608 0.110489 13.2647 < 2.2e-16 ***
idHawaii 0.355061 0.134235 2.6451 0.0083060 **
idIdaho 0.267149 0.101150 2.6411 0.0084032 **
idIllinois 2.137113 0.119828 17.8349 < 2.2e-16 ***
idIndiana 1.041729 0.105439 9.8799 < 2.2e-16 ***
idIowa 0.254433 0.101112 2.5164 0.0120259 *
idKansas 0.021484 0.100921 0.2129 0.8314653
idKentucky 0.125613 0.100968 1.2441 0.2137839
idLouisiana 0.126816 0.100962 1.2561 0.2094055
idMaine 0.137933 0.100925 1.3667 0.1720587
idMaryland 1.349777 0.108493 12.4411 < 2.2e-16 ***
idMassachusetts 2.798965 0.131906 21.2194 < 2.2e-16 ***
idMichigan 2.345409 0.123526 18.9872 < 2.2e-16 ***
idMinnesota 1.931053 0.116750 16.5401 < 2.2e-16 ***
idMississippi 0.463506 0.199211 2.3267 0.0201963 *
idMissouri -0.226414 0.330862 -0.6843 0.4939479
idMontana -0.432475 0.101905 -4.2439 2.419e-05 ***
idNebraska -0.537584 0.121334 -4.4306 1.052e-05 ***
idNevada 0.937559 0.123700 7.5793 8.446e-14 ***
idNewHampshire 0.924768 0.104912 8.8147 < 2.2e-16 ***
idNewJersey 2.016481 0.117902 17.1031 < 2.2e-16 ***
idNewMexico 1.046139 0.105671 9.8999 < 2.2e-16 ***
idNewYork 3.019571 0.136700 22.0890 < 2.2e-16 ***
idNorthCarolina 2.026185 0.117901 17.1854 < 2.2e-16 ***
idNorthDakota -0.588102 0.102959 -5.7120 1.506e-08 ***
idOhio 2.350441 0.124012 18.9534 < 2.2e-16 ***
idOklahoma 0.559811 0.102048 5.4858 5.318e-08 ***
idOregon 1.510606 0.110663 13.6505 < 2.2e-16 ***
idPennsylvania 2.412153 0.124817 19.3255 < 2.2e-16 ***
idRhodeIsland 1.144043 0.201077 5.6896 1.709e-08 ***
idSouthCarolina 1.167868 0.145281 8.0387 2.768e-15 ***
idSouthDakota -0.550143 0.142046 -3.8730 0.0001151 ***
idTennessee 0.854425 0.103790 8.2322 6.233e-16 ***
idTexas 2.555041 0.127192 20.0881 < 2.2e-16 ***
idUtah 0.779150 0.103544 7.5248 1.253e-13 ***
idVermont -0.005849 0.100917 -0.0580 0.9537944
idVirginia 0.701935 0.332754 2.1095 0.0351727 *
idWashington 1.921327 0.116154 16.5412 < 2.2e-16 ***
idWestVirginia -0.550336 0.102470 -5.3707 9.928e-08 ***
idWisconsin 1.704516 0.112800 15.1110 < 2.2e-16 ***
idWyoming -0.256631 0.107402 -2.3894 0.0170737 *
time2001 -2.587193 0.496716 -5.2086 2.347e-07 ***
time2002 -2.443738 0.460357 -5.3084 1.386e-07 ***
time2003 -2.457425 0.399983 -6.1438 1.196e-09 ***
time2004 -2.499443 0.285614 -8.7511 < 2.2e-16 ***
time2005 -2.188665 0.219930 -9.9516 < 2.2e-16 ***
time2006 -1.600210 0.176720 -9.0551 < 2.2e-16 ***
time2007 -1.124987 0.153266 -7.3401 4.680e-13 ***
time2008 -0.880721 0.188888 -4.6627 3.581e-06 ***
time2009 -0.213756 0.222369 -0.9613 0.3366703
time2010 -0.186284 0.199792 -0.9324 0.3513802
time2011 -0.024915 0.145563 -0.1712 0.8641342
time2012 0.148450 0.132388 1.1213 0.2624406
time2013 -0.168422 0.178107 -0.9456 0.3445868
time2014 -0.353791 0.216678 -1.6328 0.1028517
time2015 0.032973 0.103817 0.3176 0.7508540
time2016 0.049696 0.094743 0.5245 0.6000294
fesisAlaska.2007 -1.012827 0.181089 -5.5930 2.940e-08 ***
fesisAlaska.2014 0.683480 0.172661 3.9585 8.121e-05 ***
fesisArkansas.2002 -1.176043 0.360515 -3.2621 0.0011464 **
fesisArkansas.2006 -0.688901 0.246367 -2.7962 0.0052775 **
fesisArkansas.2009 0.932446 0.208499 4.4722 8.707e-06 ***
fesisConnecticut.2009 -0.590283 0.148209 -3.9828 7.347e-05 ***
fesisDelaware.2014 -0.879694 0.152560 -5.7662 1.105e-08 ***
fesisDistrictofColumbia.2008 -0.705602 0.202665 -3.4816 0.0005218 ***
fesisDistrictofColumbia.2012 1.073166 0.195636 5.4855 5.325e-08 ***
fesisHawaii.2009 -0.728500 0.167185 -4.3575 1.463e-05 ***
fesisHawaii.2016 1.277559 0.346022 3.6921 0.0002354 ***
fesisHawaii.2017 -2.053094 0.396054 -5.1839 2.670e-07 ***
fesisHawaii.2019 1.253519 0.322770 3.8836 0.0001102 ***
fesisMississippi.2004 -1.380308 0.205017 -6.7327 2.924e-11 ***
fesisMississippi.2020 1.295473 0.332444 3.8968 0.0001045 ***
fesisMissouri.2002 1.026902 0.330910 3.1033 0.0019722 **
fesisNebraska.2012 0.669077 0.146010 4.5824 5.228e-06 ***
fesisNevada.2012 -0.585323 0.156707 -3.7351 0.0001991 ***
fesisNevada.2019 0.911055 0.258554 3.5237 0.0004465 ***
fesisRhodeIsland.2004 -0.820258 0.202666 -4.0473 5.615e-05 ***
fesisSouthCarolina.2008 0.776781 0.153019 5.0764 4.652e-07 ***
fesisSouthDakota.2008 0.773766 0.160253 4.8284 1.610e-06 ***
fesisSouthDakota.2018 -0.789360 0.212552 -3.7137 0.0002165 ***
fesisVirginia.2002 0.996919 0.331013 3.0117 0.0026685 **
fesisWyoming.2017 -0.777284 0.204284 -3.8049 0.0001512 ***
fesisWyoming.2020 1.586365 0.372400 4.2598 2.255e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00079054 1 0.9776
Ljung-Box ARCH(1) 0.97803558 1 0.3227
SE of regression 0.31912
R-squared 0.94068
Log-lik.(n=1020) -233.78638 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:24:07 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0308865 0.0314199 0.9830 0.3258909
lgdp 49.9226868 3.2134487 15.5355 < 2.2e-16 ***
lpop -38.4123509 1.9692642 -19.5059 < 2.2e-16 ***
lgdp_sq -1.8497227 0.1906309 -9.7032 < 2.2e-16 ***
avg_temp -0.0962061 0.0772714 -1.2450 0.2134779
idArizona 1.6732197 0.1088595 15.3705 < 2.2e-16 ***
idArkansas 0.7653234 0.3107630 2.4627 0.0139965 *
idCalifornia 3.8647219 0.1562961 24.7269 < 2.2e-16 ***
idColorado 2.0024508 0.1139980 17.5657 < 2.2e-16 ***
idConnecticut 2.6249982 0.1513493 17.3440 < 2.2e-16 ***
idDelaware 1.5406051 0.1176308 13.0969 < 2.2e-16 ***
idDistrictofColumbia -0.1499733 0.1130044 -1.3271 0.1848357
idFlorida 2.0889005 0.1154552 18.0927 < 2.2e-16 ***
idGeorgia 1.4420306 0.1056739 13.6460 < 2.2e-16 ***
idHawaii 0.3635829 0.1261232 2.8828 0.0040468 **
idIdaho 0.2635333 0.0949869 2.7744 0.0056578 **
idIllinois 2.1032508 0.1161925 18.1014 < 2.2e-16 ***
idIndiana 1.0257165 0.0999188 10.2655 < 2.2e-16 ***
idIowa 0.2511285 0.0949421 2.6451 0.0083262 **
idKansas -0.0309172 0.0959860 -0.3221 0.7474598
idKentucky 0.1238956 0.0947761 1.3072 0.1915020
idLouisiana 0.2217855 0.1167772 1.8992 0.0578920 .
idMaine 0.1371633 0.0947270 1.4480 0.1480094
idMaryland 1.3288995 0.1034057 12.8513 < 2.2e-16 ***
idMassachusetts 2.7544487 0.1296137 21.2512 < 2.2e-16 ***
idMichigan 2.3080755 0.1203208 19.1827 < 2.2e-16 ***
idMinnesota 1.9002856 0.1127410 16.8553 < 2.2e-16 ***
idMissouri -0.2295183 0.3112100 -0.7375 0.4610309
idNebraska -0.5184893 0.1141094 -4.5438 6.370e-06 ***
idNevada 0.9326393 0.1170496 7.9679 5.491e-15 ***
idNewHampshire 0.9097351 0.0993157 9.1600 < 2.2e-16 ***
idNewJersey 1.9845298 0.1140345 17.4029 < 2.2e-16 ***
idNewMexico 1.0297109 0.1001852 10.2781 < 2.2e-16 ***
idNewYork 2.9712456 0.1348956 22.0263 < 2.2e-16 ***
idNorthCarolina 1.9942347 0.1140341 17.4881 < 2.2e-16 ***
idOhio 2.3126676 0.1208622 19.1347 < 2.2e-16 ***
idOklahoma 0.5518622 0.0960234 5.7472 1.286e-08 ***
idOregon 2.1058045 0.1974547 10.6647 < 2.2e-16 ***
idPennsylvania 2.3736573 0.1217586 19.4948 < 2.2e-16 ***
idRhodeIsland 1.1462200 0.1894785 6.0493 2.224e-09 ***
idSouthCarolina 1.1577689 0.1375907 8.4146 < 2.2e-16 ***
idSouthDakota -0.6445608 0.1886812 -3.4161 0.0006669 ***
idTennessee 0.8417100 0.0980283 8.5864 < 2.2e-16 ***
idTexas 2.5144668 0.1243960 20.2134 < 2.2e-16 ***
idUtah 0.7669987 0.0977454 7.8469 1.353e-14 ***
idVermont -0.0054995 0.0947172 -0.0581 0.9537130
idVirginia 0.6883649 0.3134664 2.1960 0.0283775 *
idWashington 1.8911855 0.1120713 16.8748 < 2.2e-16 ***
idWisconsin 1.6781038 0.1082905 15.4963 < 2.2e-16 ***
time2001 -2.9034106 0.4982082 -5.8277 8.119e-09 ***
time2002 -2.7669384 0.4612829 -5.9984 3.007e-09 ***
time2003 -2.7729558 0.4015795 -6.9051 1.016e-11 ***
time2004 -2.8134213 0.2867871 -9.8101 < 2.2e-16 ***
time2005 -2.4005434 0.2208022 -10.8719 < 2.2e-16 ***
time2006 -1.8531558 0.1769389 -10.4734 < 2.2e-16 ***
time2007 -1.3059750 0.1535154 -8.5071 < 2.2e-16 ***
time2008 -1.0242711 0.1899885 -5.3912 9.195e-08 ***
time2009 -0.3124457 0.2236470 -1.3970 0.1627829
time2010 -0.2627035 0.2009935 -1.3070 0.1915767
time2011 -0.0806511 0.1460982 -0.5520 0.5810782
time2012 0.1002886 0.1323023 0.7580 0.4486568
time2013 -0.1394018 0.1789456 -0.7790 0.4361975
time2014 -0.3227705 0.2178260 -1.4818 0.1387889
time2015 0.0237565 0.1040923 0.2282 0.8195288
time2016 0.0413643 0.0945793 0.4374 0.6619739
fesisArkansas.2002 -1.1789071 0.3388732 -3.4789 0.0005304 ***
fesisArkansas.2006 -0.6772158 0.2316045 -2.9240 0.0035522 **
fesisArkansas.2009 0.9710163 0.1999290 4.8568 1.433e-06 ***
fesisArkansas.2019 -1.0388224 0.3183089 -3.2636 0.0011465 **
fesisArkansas.2020 1.2768387 0.4310361 2.9623 0.0031436 **
fesisConnecticut.2009 -0.5998112 0.1396722 -4.2944 1.965e-05 ***
fesisDelaware.2014 -0.8776019 0.1438221 -6.1020 1.625e-09 ***
fesisDistrictofColumbia.2012 0.5917455 0.1375286 4.3027 1.894e-05 ***
fesisHawaii.2009 -0.6221780 0.1640393 -3.7929 0.0001600 ***
fesisHawaii.2015 -0.8857927 0.3272251 -2.7070 0.0069333 **
fesisHawaii.2016 2.0295854 0.4294729 4.7258 2.704e-06 ***
fesisHawaii.2017 -2.0503861 0.3724425 -5.5052 4.956e-08 ***
fesisHawaii.2019 1.3213198 0.3034587 4.3542 1.507e-05 ***
fesisKansas.2020 1.0594555 0.3110446 3.4061 0.0006915 ***
fesisLouisiana.2011 -0.7255803 0.1806989 -4.0154 6.488e-05 ***
fesisLouisiana.2015 0.8873397 0.1967756 4.5094 7.465e-06 ***
fesisMissouri.2002 1.0184087 0.3110720 3.2739 0.0011060 **
fesisNebraska.2012 0.6373963 0.1373559 4.6405 4.055e-06 ***
fesisNevada.2012 -0.6163329 0.1476320 -4.1748 3.307e-05 ***
fesisNevada.2019 0.9822834 0.2430317 4.0418 5.812e-05 ***
fesisOregon.2004 -0.7282347 0.1908309 -3.8161 0.0001459 ***
fesisRhodeIsland.2004 -0.8314335 0.1907506 -4.3587 1.477e-05 ***
fesisSouthCarolina.2008 0.7521175 0.1440093 5.2227 2.246e-07 ***
fesisSouthDakota.2004 1.2858824 0.3499143 3.6748 0.0002537 ***
fesisSouthDakota.2005 -1.4529892 0.3498018 -4.1538 3.619e-05 ***
fesisSouthDakota.2008 1.4294654 0.2477986 5.7687 1.138e-08 ***
fesisSouthDakota.2011 -0.7546592 0.1995775 -3.7813 0.0001675 ***
fesisVirginia.2002 0.9840312 0.3111571 3.1625 0.0016228 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.16261 1 0.6868
Ljung-Box ARCH(1) 0.91211 1 0.3396
SE of regression 0.29951
R-squared 0.93920
Log-lik.(n=900) -145.50998 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:23:36 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 7.2839e-02 3.5233e-02 2.0674 0.0390959 *
lgdp -1.0281e+02 1.7571e+01 -5.8514 7.736e-09 ***
lpop 9.6951e+01 1.3759e+01 7.0465 4.700e-12 ***
lgdp_sq 2.6356e+00 5.8981e-01 4.4685 9.292e-06 ***
avg_temp 3.4278e-01 1.0276e-01 3.3358 0.0008989 ***
idCalifornia 2.0971e+00 1.1393e-01 18.4076 < 2.2e-16 ***
idColorado 3.1617e-01 8.2586e-02 3.8284 0.0001415 ***
idConnecticut 9.0577e-01 1.1413e-01 7.9364 9.165e-15 ***
idDelaware -1.3093e-01 9.2678e-02 -1.4128 0.1582021
idDistrictofColumbia -1.5014e+00 1.2935e-01 -11.6070 < 2.2e-16 ***
idFlorida 3.9918e-01 8.3020e-02 4.8082 1.895e-06 ***
idGeorgia -2.2211e-01 8.2209e-02 -2.7018 0.0070769 **
idIdaho -1.3476e+00 9.7037e-02 -13.8879 < 2.2e-16 ***
idIllinois 4.1182e-01 8.3272e-02 4.9454 9.689e-07 ***
idIndiana -6.1835e-01 8.5438e-02 -7.2374 1.297e-12 ***
idIowa -1.9099e+00 2.7509e-01 -6.9430 9.333e-12 ***
idKentucky -1.5147e+00 1.4179e-01 -10.6822 < 2.2e-16 ***
idMaryland -3.2808e-01 8.2984e-02 -3.9535 8.548e-05 ***
idMassachusetts 1.0347e+00 9.0690e-02 11.4096 < 2.2e-16 ***
idMichigan 6.0743e-01 8.5034e-02 7.1433 2.454e-12 ***
idMinnesota 2.1706e-01 8.2285e-02 2.6379 0.0085410 **
idMissouri -1.8536e+00 2.7112e-01 -6.8369 1.871e-11 ***
idNevada -7.1712e-01 1.0090e-01 -7.1074 3.125e-12 ***
idNewHampshire -7.3173e-01 8.6090e-02 -8.4996 < 2.2e-16 ***
idNewJersey 2.9817e-01 8.2596e-02 3.6099 0.0003299 ***
idNewMexico -6.1546e-01 8.5177e-02 -7.2256 1.405e-12 ***
idNewYork 1.2414e+00 9.4656e-02 13.1151 < 2.2e-16 ***
idNorthCarolina 3.0787e-01 8.2596e-02 3.7274 0.0002103 ***
idOhio 6.1085e-01 8.5306e-02 7.1607 2.181e-12 ***
idOklahoma -1.0708e+00 9.2210e-02 -11.6126 < 2.2e-16 ***
idOregon 4.1909e-01 1.6248e-01 2.5793 0.0101187 *
idPennsylvania 6.6993e-01 8.5772e-02 7.8105 2.296e-14 ***
idRhodeIsland -4.9579e-01 1.6447e-01 -3.0144 0.0026752 **
idSouthCarolina -4.9525e-01 1.1602e-01 -4.2688 2.259e-05 ***
idTennessee -7.9360e-01 8.7827e-02 -9.0360 < 2.2e-16 ***
idTexas 8.0522e-01 8.7268e-02 9.2269 < 2.2e-16 ***
idUtah -8.6682e-01 8.8290e-02 -9.8178 < 2.2e-16 ***
idVirginia -9.6347e-01 2.6920e-01 -3.5791 0.0003706 ***
idWashington 2.0962e-01 8.2154e-02 2.5516 0.0109517 *
idWisconsin 6.4381e-03 8.1865e-02 0.0786 0.9373409
time2001 1.5080e+01 3.1562e+00 4.7777 2.194e-06 ***
time2002 1.4313e+01 2.9470e+00 4.8569 1.496e-06 ***
time2003 1.4240e+01 2.7674e+00 5.1456 3.537e-07 ***
time2004 1.3985e+01 2.6966e+00 5.1860 2.874e-07 ***
time2005 1.3438e+01 2.3864e+00 5.6311 2.668e-08 ***
time2006 1.2135e+01 2.0729e+00 5.8541 7.618e-09 ***
time2007 1.1032e+01 1.8014e+00 6.1243 1.578e-09 ***
time2008 9.3984e+00 1.6309e+00 5.7627 1.279e-08 ***
time2009 5.2367e+00 1.2024e+00 4.3554 1.544e-05 ***
time2010 4.9096e+00 1.1671e+00 4.2067 2.956e-05 ***
time2011 4.7214e+00 1.0989e+00 4.2963 2.003e-05 ***
time2012 3.5838e+00 7.9917e-01 4.4843 8.648e-06 ***
time2013 3.2472e+00 8.2880e-01 3.9180 9.876e-05 ***
time2014 1.3830e+00 4.8452e-01 2.8544 0.0044494 **
time2015 9.1800e-01 3.8036e-01 2.4135 0.0160754 *
time2016 1.8905e-01 2.0460e-01 0.9240 0.3558320
fesisConnecticut.2009 -5.6670e-01 1.2164e-01 -4.6588 3.860e-06 ***
fesisDelaware.2014 -8.3576e-01 1.2546e-01 -6.6613 5.793e-11 ***
fesisDistrictofColumbia.2008 -8.7438e-01 1.8197e-01 -4.8051 1.924e-06 ***
fesisDistrictofColumbia.2011 1.1627e+00 1.7475e-01 6.6538 6.076e-11 ***
fesisIowa.2002 1.3714e+00 3.7164e-01 3.6902 0.0002429 ***
fesisIowa.2003 -8.3572e-01 2.7051e-01 -3.0894 0.0020914 **
fesisKentucky.2006 -1.0234e+00 2.8766e-01 -3.5576 0.0004015 ***
fesisKentucky.2007 1.1428e+00 2.7182e-01 4.2043 2.987e-05 ***
fesisMissouri.2002 1.0109e+00 2.6972e-01 3.7478 0.0001943 ***
fesisNevada.2012 -5.8024e-01 1.2838e-01 -4.5199 7.354e-06 ***
fesisNevada.2019 9.8983e-01 2.1051e-01 4.7022 3.146e-06 ***
fesisOregon.2004 -7.0238e-01 1.6594e-01 -4.2327 2.642e-05 ***
fesisRhodeIsland.2004 -8.0673e-01 1.6583e-01 -4.8648 1.439e-06 ***
fesisSouthCarolina.2008 7.2458e-01 1.2586e-01 5.7570 1.321e-08 ***
fesisVirginia.2002 9.6483e-01 2.6985e-01 3.5755 0.0003756 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.170531 1 0.6796
Ljung-Box ARCH(1) 0.013738 1 0.9067
SE of regression 0.25885
R-squared 0.94076
Log-lik.(n=720) -13.04544 0.05
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:20:59 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 4.2635e-04 2.8793e-02 0.0148 0.9881892
lgdp 4.5798e+01 3.0166e+00 15.1821 < 2.2e-16 ***
lpop -3.5126e+01 1.8781e+00 -18.7028 < 2.2e-16 ***
lgdp_sq -1.7036e+00 1.7671e-01 -9.6411 < 2.2e-16 ***
avg_temp -8.5523e-02 7.0389e-02 -1.2150 0.2246822
idAlaska -5.3895e-01 1.4055e-01 -3.8345 0.0001347 ***
idArizona 1.7158e+00 1.0925e-01 15.7056 < 2.2e-16 ***
idArkansas 7.1211e-01 3.0209e-01 2.3573 0.0186226 *
idCalifornia 3.9758e+00 1.5019e-01 26.4721 < 2.2e-16 ***
idColorado 2.0545e+00 1.1360e-01 18.0855 < 2.2e-16 ***
idConnecticut 2.6886e+00 1.4767e-01 18.2063 < 2.2e-16 ***
idDelaware 1.5787e+00 1.1737e-01 13.4506 < 2.2e-16 ***
idDistrictofColumbia 8.8732e-02 1.3196e-01 0.6724 0.5015003
idFlorida 2.1435e+00 1.1484e-01 18.6650 < 2.2e-16 ***
idGeorgia 1.4780e+00 1.0656e-01 13.8700 < 2.2e-16 ***
idHawaii 3.5077e-01 1.2610e-01 2.7818 0.0055206 **
idIdaho -5.3136e-01 3.0171e-01 -1.7612 0.0785497 .
idIllinois 2.1591e+00 1.1547e-01 18.6987 < 2.2e-16 ***
idIndiana 1.0472e+00 1.0173e-01 10.2931 < 2.2e-16 ***
idIowa -3.4901e-01 3.0169e-01 -1.1569 0.2476418
idKansas -1.5322e-01 1.1376e-01 -1.3468 0.1783761
idKentucky 1.1779e-01 9.7393e-02 1.2094 0.2268228
idLouisiana 2.1017e-01 1.1737e-01 1.7907 0.0736802 .
idMaine -1.1553e-02 1.2123e-01 -0.0953 0.9240954
idMaryland 1.3597e+00 1.0466e-01 12.9920 < 2.2e-16 ***
idMassachusetts 2.8308e+00 1.2697e-01 22.2956 < 2.2e-16 ***
idMichigan 2.3706e+00 1.1899e-01 19.9228 < 2.2e-16 ***
idMinnesota 1.9502e+00 1.1253e-01 17.3294 < 2.2e-16 ***
idMississippi 4.6197e-01 1.8382e-01 2.5131 0.0121427 *
idMissouri -2.4394e-01 3.0243e-01 -0.8066 0.4201055
idMontana -4.4877e-01 9.8202e-02 -4.5699 5.566e-06 ***
idNebraska -5.5081e-01 1.1475e-01 -4.8002 1.858e-06 ***
idNevada 9.4659e-01 1.1731e-01 8.0690 2.277e-15 ***
idNewHampshire 9.2929e-01 1.0123e-01 9.1800 < 2.2e-16 ***
idNewJersey 2.0367e+00 1.1363e-01 17.9234 < 2.2e-16 ***
idNewMexico 1.0520e+00 1.0196e-01 10.3176 < 2.2e-16 ***
idNewYork 3.0549e+00 1.3153e-01 23.2262 < 2.2e-16 ***
idNorthCarolina 2.0464e+00 1.1363e-01 18.0089 < 2.2e-16 ***
idNorthDakota -6.0665e-01 1.5026e-01 -4.0374 5.869e-05 ***
idOhio 2.3760e+00 1.1945e-01 19.8912 < 2.2e-16 ***
idOklahoma 5.5776e-01 9.8466e-02 5.6645 1.988e-08 ***
idOregon 2.1466e+00 1.9260e-01 11.1454 < 2.2e-16 ***
idPennsylvania 2.4384e+00 1.2022e-01 20.2832 < 2.2e-16 ***
idRhodeIsland 1.1545e+00 1.8575e-01 6.2155 7.844e-10 ***
idSouthCarolina 1.1808e+00 1.3639e-01 8.6574 < 2.2e-16 ***
idSouthDakota -6.8766e-01 1.8507e-01 -3.7156 0.0002153 ***
idTennessee 8.5680e-01 1.0015e-01 8.5551 < 2.2e-16 ***
idTexas 2.5832e+00 1.2248e-01 21.0912 < 2.2e-16 ***
idUtah 7.8100e-01 9.9914e-02 7.8167 1.523e-14 ***
idVermont -3.5368e-02 1.2117e-01 -0.2919 0.7704303
idVirginia 6.9411e-01 3.0435e-01 2.2806 0.0228062 *
idWashington 1.9398e+00 1.1197e-01 17.3252 < 2.2e-16 ***
idWestVirginia -3.9920e-01 1.1141e-01 -3.5831 0.0003579 ***
idWisconsin 1.7196e+00 1.0877e-01 15.8095 < 2.2e-16 ***
idWyoming -2.6968e-01 1.0264e-01 -2.6275 0.0087500 **
time2001 -2.7088e+00 4.5840e-01 -5.9091 4.888e-09 ***
time2002 -2.6189e+00 4.2485e-01 -6.1643 1.071e-09 ***
time2003 -2.5659e+00 3.6943e-01 -6.9454 7.264e-12 ***
time2004 -2.6069e+00 2.6474e-01 -9.8472 < 2.2e-16 ***
time2005 -2.2445e+00 2.0452e-01 -10.9745 < 2.2e-16 ***
time2006 -1.6764e+00 1.6460e-01 -10.1851 < 2.2e-16 ***
time2007 -1.1598e+00 1.4272e-01 -8.1265 1.466e-15 ***
time2008 -8.6699e-01 1.7402e-01 -4.9821 7.552e-07 ***
time2009 -2.2898e-01 2.0471e-01 -1.1186 0.2636247
time2010 -1.6684e-01 1.8361e-01 -0.9087 0.3637743
time2011 -4.0548e-02 1.3409e-01 -0.3024 0.7624261
time2012 1.0122e-01 1.2187e-01 0.8305 0.4064513
time2013 -1.0596e-01 1.6289e-01 -0.6505 0.5155359
time2014 -2.7522e-01 1.9806e-01 -1.3896 0.1650063
time2015 4.6984e-02 9.5685e-02 0.4910 0.6235273
time2016 1.4739e-02 8.6684e-02 0.1700 0.8650258
fesisAlabama.2017 -8.6213e-01 3.0195e-01 -2.8552 0.0044011 **
fesisAlabama.2018 1.3468e+00 3.5889e-01 3.7526 0.0001863 ***
fesisAlabama.2020 -7.8007e-01 3.6017e-01 -2.1658 0.0305898 *
fesisAlaska.2007 -1.0360e+00 1.6472e-01 -6.2892 4.989e-10 ***
fesisAlaska.2014 6.8403e-01 1.5694e-01 4.3584 1.462e-05 ***
fesisArkansas.2002 -1.1394e+00 3.2752e-01 -3.4790 0.0005277 ***
fesisArkansas.2006 -7.1493e-01 2.2379e-01 -3.1946 0.0014493 **
fesisArkansas.2009 1.1689e+00 2.0772e-01 5.6273 2.450e-08 ***
fesisArkansas.2015 -1.1284e+00 3.1625e-01 -3.5679 0.0003789 ***
fesisArkansas.2016 1.0019e+00 3.3824e-01 2.9622 0.0031354 **
fesisArkansas.2019 -1.0539e+00 3.3900e-01 -3.1089 0.0019372 **
fesisArkansas.2020 1.1468e+00 4.1643e-01 2.7538 0.0060096 **
fesisConnecticut.2009 -6.0316e-01 1.3498e-01 -4.4684 8.891e-06 ***
fesisDelaware.2014 -7.8381e-01 1.4605e-01 -5.3666 1.023e-07 ***
fesisDelaware.2020 -8.0263e-01 3.1661e-01 -2.5350 0.0114129 *
fesisDistrictofColumbia.2008 -1.3185e+00 3.1333e-01 -4.2079 2.838e-05 ***
fesisDistrictofColumbia.2009 8.0441e-01 3.4022e-01 2.3644 0.0182738 *
fesisDistrictofColumbia.2012 8.7731e-01 1.9838e-01 4.4223 1.097e-05 ***
fesisHawaii.2009 -6.0994e-01 1.5858e-01 -3.8463 0.0001284 ***
fesisHawaii.2015 -9.0708e-01 3.1626e-01 -2.8681 0.0042261 **
fesisHawaii.2016 2.0445e+00 4.1490e-01 4.9276 9.920e-07 ***
fesisHawaii.2017 -2.0413e+00 3.5978e-01 -5.6738 1.887e-08 ***
fesisHawaii.2019 1.2536e+00 2.9327e-01 4.2746 2.120e-05 ***
fesisIdaho.2002 8.3415e-01 3.0075e-01 2.7736 0.0056595 **
fesisIowa.2002 1.4391e+00 4.1424e-01 3.4742 0.0005370 ***
fesisIowa.2003 -8.5564e-01 3.0138e-01 -2.8391 0.0046274 **
fesisKansas.2012 2.7604e-01 1.3646e-01 2.0229 0.0433790 *
fesisKansas.2020 8.1081e-01 3.1098e-01 2.6073 0.0092795 **
fesisLouisiana.2011 -7.1042e-01 1.7448e-01 -4.0717 5.081e-05 ***
fesisLouisiana.2015 8.7979e-01 1.9005e-01 4.6292 4.214e-06 ***
fesisMaine.2010 -6.9295e-01 3.0906e-01 -2.2421 0.0251968 *
fesisMaine.2011 1.0438e+00 3.0715e-01 3.3984 0.0007077 ***
fesisMississippi.2004 -1.1710e+00 2.0798e-01 -5.6303 2.409e-08 ***
fesisMississippi.2010 -3.7169e-01 1.5222e-01 -2.4417 0.0148114 *
fesisMississippi.2020 1.4539e+00 3.0746e-01 4.7287 2.625e-06 ***
fesisMissouri.2002 1.0463e+00 3.0072e-01 3.4794 0.0005268 ***
fesisNebraska.2012 6.6758e-01 1.3285e-01 5.0249 6.083e-07 ***
fesisNevada.2012 -6.0464e-01 1.4267e-01 -4.2381 2.489e-05 ***
fesisNevada.2019 9.2243e-01 2.3495e-01 3.9261 9.299e-05 ***
fesisNorthDakota.2006 8.0282e-01 3.2098e-01 2.5011 0.0125579 *
fesisNorthDakota.2007 -1.6843e+00 4.1541e-01 -4.0547 5.459e-05 ***
fesisNorthDakota.2008 8.1415e-01 3.0597e-01 2.6609 0.0079339 **
fesisNorthDakota.2020 9.3888e-01 3.0515e-01 3.0768 0.0021565 **
fesisOregon.2004 -7.3330e-01 1.8440e-01 -3.9768 7.551e-05 ***
fesisRhodeIsland.2004 -8.3567e-01 1.8433e-01 -4.5336 6.590e-06 ***
fesisSouthCarolina.2008 7.7971e-01 1.3925e-01 5.5996 2.860e-08 ***
fesisSouthDakota.2004 1.2956e+00 3.3810e-01 3.8319 0.0001361 ***
fesisSouthDakota.2005 -1.4365e+00 3.3801e-01 -4.2499 2.363e-05 ***
fesisSouthDakota.2008 1.0381e+00 1.9333e-01 5.3694 1.008e-07 ***
fesisSouthDakota.2018 -7.8238e-01 1.9320e-01 -4.0496 5.577e-05 ***
fesisVermont.2010 5.7943e-01 1.9552e-01 2.9635 0.0031225 **
fesisVermont.2013 -7.4727e-01 1.9872e-01 -3.7605 0.0001806 ***
fesisVirginia.2002 1.0204e+00 3.0082e-01 3.3922 0.0007238 ***
fesisWestVirginia.2013 -4.2298e-01 1.3470e-01 -3.1402 0.0017436 **
fesisWyoming.2017 -7.9394e-01 1.8587e-01 -4.2715 2.150e-05 ***
fesisWyoming.2020 1.6161e+00 3.3852e-01 4.7740 2.110e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.035517 1 0.8505
Ljung-Box ARCH(1) 0.228344 1 0.6328
SE of regression 0.28978
R-squared 0.95268
Log-lik.(n=1020) -120.40005 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:24:06 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.015399 0.029561 0.5209 0.6025724
lgdp 50.214741 3.011967 16.6717 < 2.2e-16 ***
lpop -38.645625 1.842342 -20.9764 < 2.2e-16 ***
lgdp_sq -1.858790 0.178337 -10.4229 < 2.2e-16 ***
avg_temp -0.103540 0.071845 -1.4412 0.1499423
idArizona 1.963854 0.159299 12.3281 < 2.2e-16 ***
idArkansas 1.010859 0.306591 3.2971 0.0010212 **
idCalifornia 4.190190 0.191767 21.8504 < 2.2e-16 ***
idColorado 2.297906 0.162562 14.1356 < 2.2e-16 ***
idConnecticut 2.927534 0.185684 15.7662 < 2.2e-16 ***
idDelaware 1.827277 0.163789 11.1563 < 2.2e-16 ***
idDistrictofColumbia 0.549004 0.208137 2.6377 0.0085138 **
idFlorida 2.385629 0.163499 14.5911 < 2.2e-16 ***
idGeorgia 1.729314 0.157308 10.9932 < 2.2e-16 ***
idHawaii 0.627268 0.167351 3.7482 0.0001913 ***
idIdaho -0.242419 0.306358 -0.7913 0.4290140
idIllinois 2.400610 0.163976 14.6400 < 2.2e-16 ***
idIndiana 1.305588 0.153760 8.4911 < 2.2e-16 ***
idIowa -0.059259 0.306331 -0.1934 0.8466600
idKansas 0.128624 0.158065 0.8137 0.4160428
idKentucky 0.358664 0.182749 1.9626 0.0500486 .
idLouisiana 0.482557 0.162034 2.9781 0.0029903 **
idMaine 0.267459 0.164232 1.6285 0.1038146
idMaryland 1.613537 0.155903 10.3496 < 2.2e-16 ***
idMassachusetts 3.062247 0.172880 17.7131 < 2.2e-16 ***
idMichigan 2.608836 0.166668 15.6529 < 2.2e-16 ***
idMinnesota 2.480811 0.187486 13.2320 < 2.2e-16 ***
idMissouri 0.035739 0.307260 0.1163 0.9074316
idNebraska 0.489415 0.306346 1.5976 0.1105400
idNevada 1.206694 0.162755 7.4142 3.201e-13 ***
idNewHampshire 1.188647 0.153390 7.7492 2.889e-14 ***
idNewJersey 2.280017 0.162585 14.0235 < 2.2e-16 ***
idNewMexico 1.309990 0.153923 8.5107 < 2.2e-16 ***
idNewYork 3.282776 0.176501 18.5992 < 2.2e-16 ***
idNorthCarolina 2.289722 0.162585 14.0832 < 2.2e-16 ***
idOhio 2.613859 0.167024 15.6496 < 2.2e-16 ***
idOklahoma 0.823834 0.151348 5.4433 7.015e-08 ***
idOregon 2.402832 0.216829 11.0817 < 2.2e-16 ***
idPennsylvania 2.675556 0.167615 15.9625 < 2.2e-16 ***
idRhodeIsland 1.426744 0.210127 6.7899 2.227e-11 ***
idSouthCarolina 1.440801 0.175012 8.2326 7.710e-16 ***
idSouthDakota -0.390167 0.209001 -1.8668 0.0623023 .
idTennessee 1.118351 0.152598 7.3287 5.827e-13 ***
idTexas 2.818402 0.169367 16.6408 < 2.2e-16 ***
idUtah 1.043087 0.152424 6.8433 1.568e-11 ***
idVermont 0.241499 0.164227 1.4705 0.1418246
idVirginia 0.963876 0.309422 3.1151 0.0019064 **
idWashington 2.184900 0.161331 13.5430 < 2.2e-16 ***
idWisconsin 1.968165 0.158941 12.3830 < 2.2e-16 ***
time2001 -2.920392 0.465408 -6.2749 5.805e-10 ***
time2002 -2.807508 0.430941 -6.5148 1.306e-10 ***
time2003 -2.800005 0.375029 -7.4661 2.218e-13 ***
time2004 -2.824504 0.268120 -10.5345 < 2.2e-16 ***
time2005 -2.441004 0.206610 -11.8145 < 2.2e-16 ***
time2006 -1.859893 0.165729 -11.2225 < 2.2e-16 ***
time2007 -1.323892 0.143575 -9.2209 < 2.2e-16 ***
time2008 -1.014209 0.177211 -5.7232 1.492e-08 ***
time2009 -0.300740 0.208376 -1.4433 0.1493516
time2010 -0.246089 0.187276 -1.3140 0.1892184
time2011 -0.094766 0.136213 -0.6957 0.4868146
time2012 0.082449 0.123202 0.6692 0.5035547
time2013 -0.164313 0.166427 -0.9873 0.3238043
time2014 -0.352096 0.202429 -1.7394 0.0823685 .
time2015 0.034518 0.096844 0.3564 0.7216179
time2016 0.035103 0.087558 0.4009 0.6885978
fesisAlabama.2005 0.567681 0.210312 2.6992 0.0071007 **
fesisAlabama.2008 -0.625208 0.224850 -2.7806 0.0055578 **
fesisAlabama.2011 0.524601 0.194709 2.6943 0.0072062 **
fesisAlabama.2017 -1.070958 0.297246 -3.6029 0.0003347 ***
fesisAlabama.2018 1.355715 0.337350 4.0187 6.420e-05 ***
fesisAlabama.2020 -0.700854 0.338475 -2.0706 0.0387236 *
fesisArkansas.2002 -1.162237 0.307902 -3.7747 0.0001724 ***
fesisArkansas.2006 -0.694833 0.210406 -3.3023 0.0010026 **
fesisArkansas.2009 1.138920 0.195339 5.8305 8.097e-09 ***
fesisArkansas.2015 -1.122830 0.297169 -3.7784 0.0001699 ***
fesisArkansas.2016 0.993093 0.317895 3.1240 0.0018505 **
fesisArkansas.2019 -1.049988 0.318817 -3.2934 0.0010346 **
fesisArkansas.2020 1.255402 0.391672 3.2052 0.0014046 **
fesisConnecticut.2009 -0.603560 0.127111 -4.7483 2.442e-06 ***
fesisDelaware.2014 -0.883500 0.130876 -6.7507 2.878e-11 ***
fesisDistrictofColumbia.2004 -0.608946 0.187083 -3.2550 0.0011831 **
fesisDistrictofColumbia.2012 0.778340 0.135521 5.7433 1.331e-08 ***
fesisHawaii.2009 -0.620753 0.149142 -4.1622 3.504e-05 ***
fesisHawaii.2015 -0.900896 0.297175 -3.0315 0.0025139 **
fesisHawaii.2016 2.036947 0.390047 5.2223 2.270e-07 ***
fesisHawaii.2017 -2.046446 0.338312 -6.0490 2.263e-09 ***
fesisHawaii.2019 1.318107 0.275743 4.7802 2.094e-06 ***
fesisIdaho.2002 0.814398 0.282802 2.8797 0.0040893 **
fesisIowa.2002 1.425531 0.389392 3.6609 0.0002683 ***
fesisIowa.2003 -0.862718 0.283328 -3.0449 0.0024057 **
fesisKansas.2013 0.282236 0.131434 2.1474 0.0320734 *
fesisKansas.2020 0.883216 0.294518 2.9989 0.0027964 **
fesisKentucky.2006 -0.968386 0.301441 -3.2125 0.0013699 **
fesisKentucky.2007 1.081981 0.284897 3.7978 0.0001574 ***
fesisLouisiana.2011 -0.712737 0.164276 -4.3387 1.622e-05 ***
fesisLouisiana.2015 0.882595 0.178791 4.9365 9.738e-07 ***
fesisMaine.2010 -0.709804 0.290515 -2.4433 0.0147767 *
fesisMaine.2011 1.050068 0.288670 3.6376 0.0002933 ***
fesisMinnesota.2007 -0.408855 0.134911 -3.0305 0.0025220 **
fesisMissouri.2002 1.028801 0.282791 3.6380 0.0002929 ***
fesisNebraska.2002 -1.009607 0.318002 -3.1749 0.0015582 **
fesisNebraska.2005 0.728595 0.224744 3.2419 0.0012380 **
fesisNebraska.2008 -0.833809 0.210335 -3.9642 8.043e-05 ***
fesisNebraska.2012 0.991630 0.178558 5.5536 3.843e-08 ***
fesisNebraska.2018 -0.708498 0.297617 -2.3806 0.0175257 *
fesisNebraska.2019 1.166350 0.337357 3.4573 0.0005752 ***
fesisNevada.2012 -0.611643 0.134282 -4.5549 6.082e-06 ***
fesisNevada.2019 0.977593 0.220816 4.4272 1.091e-05 ***
fesisOregon.2004 -0.739441 0.173622 -4.2589 2.306e-05 ***
fesisRhodeIsland.2004 -0.842217 0.173544 -4.8531 1.469e-06 ***
fesisSouthCarolina.2008 0.762507 0.131161 5.8135 8.926e-09 ***
fesisSouthDakota.2004 1.272016 0.317734 4.0034 6.841e-05 ***
fesisSouthDakota.2005 -1.431143 0.317654 -4.5053 7.643e-06 ***
fesisSouthDakota.2008 1.407712 0.225168 6.2518 6.684e-10 ***
fesisSouthDakota.2011 -0.642908 0.194681 -3.3024 0.0010025 **
fesisSouthDakota.2017 0.649695 0.297513 2.1838 0.0292782 *
fesisSouthDakota.2018 -0.891563 0.390073 -2.2856 0.0225439 *
fesisSouthDakota.2019 -0.851866 0.390014 -2.1842 0.0292461 *
fesisSouthDakota.2020 0.958930 0.390109 2.4581 0.0141841 *
fesisVermont.2010 0.560621 0.183795 3.0503 0.0023641 **
fesisVermont.2013 -0.728747 0.186793 -3.9014 0.0001039 ***
fesisVirginia.2002 0.998729 0.282868 3.5307 0.0004388 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.13047 1 0.71794
Ljung-Box ARCH(1) 2.93693 1 0.08658 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.27190
R-squared 0.95169
Log-lik.(n=900) -43.97190 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:23:36 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.089043 0.034313 2.5950 0.0096779 **
lgdp -102.108162 16.738791 -6.1001 1.847e-09 ***
lpop 96.584302 13.113573 7.3652 5.543e-13 ***
lgdp_sq 2.603389 0.561723 4.6347 4.345e-06 ***
avg_temp 0.333993 0.097760 3.4165 0.0006751 ***
idCalifornia 2.060701 0.108803 18.9397 < 2.2e-16 ***
idColorado 0.311130 0.077436 4.0179 6.579e-05 ***
idConnecticut 0.881674 0.107389 8.2101 1.246e-15 ***
idDelaware -0.133675 0.086874 -1.5387 0.1243736
idDistrictofColumbia -1.313138 0.161132 -8.1495 1.963e-15 ***
idFlorida 0.392800 0.077875 5.0440 5.966e-07 ***
idGeorgia -0.218606 0.077055 -2.8370 0.0046997 **
idIdaho -2.072728 0.258176 -8.0283 4.834e-15 ***
idIllinois 0.404779 0.078130 5.1808 2.975e-07 ***
idIndiana -0.607088 0.080318 -7.5586 1.438e-13 ***
idIowa -1.885555 0.258577 -7.2920 9.167e-13 ***
idKentucky -1.500411 0.133725 -11.2201 < 2.2e-16 ***
idMaryland -0.321802 0.077838 -4.1342 4.042e-05 ***
idMassachusetts 1.016780 0.085605 11.8775 < 2.2e-16 ***
idMichigan 0.596832 0.079910 7.4688 2.700e-13 ***
idMinnesota 0.213199 0.077131 2.7641 0.0058743 **
idMissouri -1.840115 0.254549 -7.2289 1.410e-12 ***
idNevada -0.712125 0.094817 -7.5106 2.016e-13 ***
idNewHampshire -0.677949 0.104623 -6.4799 1.848e-10 ***
idNewJersey 0.293088 0.077446 3.7844 0.0001687 ***
idNewMexico -0.604624 0.080054 -7.5527 1.499e-13 ***
idNewYork 1.219563 0.089585 13.6135 < 2.2e-16 ***
idNorthCarolina 0.302794 0.077446 3.9097 0.0001024 ***
idOhio 0.599805 0.080183 7.4804 2.490e-13 ***
idOklahoma -1.051278 0.087132 -12.0654 < 2.2e-16 ***
idOregon 0.405584 0.152427 2.6608 0.0079924 **
idPennsylvania 0.658140 0.080654 8.1600 1.815e-15 ***
idRhodeIsland -0.492029 0.154449 -3.1857 0.0015151 **
idSouthCarolina 0.085468 0.253075 0.3377 0.7356867
idTennessee -0.733835 0.186685 -3.9309 9.398e-05 ***
idTexas 0.791303 0.082162 9.6310 < 2.2e-16 ***
idUtah -0.807233 0.084695 -9.5311 < 2.2e-16 ***
idVirginia -0.960735 0.252592 -3.8035 0.0001565 ***
idWashington 0.206401 0.076999 2.6806 0.0075416 **
idWisconsin -0.128226 0.086861 -1.4762 0.1403836
time2001 14.936303 3.006376 4.9682 8.709e-07 ***
time2002 14.178283 2.807064 5.0509 5.761e-07 ***
time2003 14.145596 2.636173 5.3660 1.132e-07 ***
time2004 13.894563 2.568628 5.4093 8.985e-08 ***
time2005 13.343430 2.273362 5.8695 7.060e-09 ***
time2006 12.053049 1.974781 6.1035 1.811e-09 ***
time2007 10.963530 1.716172 6.3884 3.253e-10 ***
time2008 9.339451 1.553447 6.0121 3.097e-09 ***
time2009 5.173631 1.144940 4.5187 7.428e-06 ***
time2010 4.822983 1.111241 4.3402 1.657e-05 ***
time2011 4.646774 1.046330 4.4410 1.057e-05 ***
time2012 3.528538 0.760866 4.6375 4.287e-06 ***
time2013 3.182780 0.788895 4.0345 6.142e-05 ***
time2014 1.327445 0.461197 2.8783 0.0041339 **
time2015 0.871520 0.361973 2.4077 0.0163392 *
time2016 0.154179 0.194605 0.7923 0.4285028
fesisConnecticut.2009 -0.543372 0.114247 -4.7561 2.447e-06 ***
fesisDelaware.2014 -0.711055 0.123625 -5.7517 1.377e-08 ***
fesisDelaware.2020 -0.691969 0.266003 -2.6014 0.0095031 **
fesisDistrictofColumbia.2004 -1.067528 0.284261 -3.7554 0.0001890 ***
fesisDistrictofColumbia.2005 1.030336 0.284673 3.6194 0.0003190 ***
fesisDistrictofColumbia.2008 -1.501251 0.285382 -5.2605 1.970e-07 ***
fesisDistrictofColumbia.2009 0.756108 0.305590 2.4743 0.0136127 *
fesisDistrictofColumbia.2011 0.905422 0.204147 4.4352 1.085e-05 ***
fesisDistrictofColumbia.2017 -0.577074 0.266731 -2.1635 0.0308765 *
fesisDistrictofColumbia.2018 0.794606 0.284387 2.7941 0.0053623 **
fesisIdaho.2002 0.788488 0.253122 3.1151 0.0019224 **
fesisIowa.2002 1.379817 0.348413 3.9603 8.337e-05 ***
fesisIowa.2003 -0.844663 0.253634 -3.3302 0.0009182 ***
fesisKentucky.2006 -1.010072 0.269599 -3.7466 0.0001957 ***
fesisKentucky.2007 1.145210 0.254743 4.4956 8.255e-06 ***
fesisMissouri.2002 0.986675 0.253435 3.8932 0.0001094 ***
fesisMissouri.2020 0.514822 0.253270 2.0327 0.0425007 *
fesisNevada.2012 -0.462749 0.126506 -3.6579 0.0002755 ***
fesisNevada.2018 -0.653646 0.265954 -2.4577 0.0142489 *
fesisNevada.2019 1.547989 0.301608 5.1324 3.812e-07 ***
fesisNewHampshire.2009 -0.711070 0.261049 -2.7239 0.0066300 **
fesisNewHampshire.2010 0.700229 0.257132 2.7232 0.0066432 **
fesisOregon.2004 -0.682630 0.155791 -4.3817 1.379e-05 ***
fesisRhodeIsland.2004 -0.787418 0.155676 -5.0581 5.557e-07 ***
fesisSouthCarolina.2002 -0.676787 0.266259 -2.5418 0.0112648 *
fesisSouthCarolina.2008 0.821686 0.124099 6.6212 7.618e-11 ***
fesisTennessee.2003 -0.911541 0.301450 -3.0239 0.0025969 **
fesisTennessee.2004 0.912069 0.253369 3.5998 0.0003435 ***
fesisUtah.2019 -0.840513 0.252884 -3.3237 0.0009396 ***
fesisUtah.2020 0.793679 0.349626 2.2701 0.0235388 *
fesisVirginia.2002 0.963227 0.253230 3.8038 0.0001563 ***
fesisWisconsin.2014 0.386470 0.116097 3.3289 0.0009227 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.11836 1 0.7308
Ljung-Box ARCH(1) 0.32493 1 0.5687
SE of regression 0.24253
R-squared 0.94935
Log-lik.(n=720) 42.32329 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:13:26 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.6384e-01 2.5221e-02 22.3560 < 2.2e-16 ***
lgdp 4.4087e+02 5.9708e+01 7.3838 3.402e-13 ***
lpop -3.2098e+02 3.6926e+01 -8.6924 < 2.2e-16 ***
lgdp_sq -1.7418e+01 3.5522e+00 -4.9034 1.110e-06 ***
avg_temp -9.0331e-01 1.4536e+00 -0.6214 0.5344770
idAlaska -1.2011e+00 1.9102e+00 -0.6288 0.5296475
idArizona 7.5591e+00 1.9606e+00 3.8555 0.0001234 ***
idArkansas -3.7647e-01 1.9089e+00 -0.1972 0.8436994
idCalifornia 4.3253e+01 4.3065e+00 10.0436 < 2.2e-16 ***
idColorado 1.1795e+01 2.0262e+00 5.8213 8.021e-09 ***
idConnecticut 1.4790e+01 2.1082e+00 7.0154 4.397e-12 ***
idDelaware 4.5537e+00 1.9292e+00 2.3605 0.0184564 *
idDistrictofColumbia 2.4622e-01 1.9087e+00 0.1290 0.8973879
idFlorida 1.2484e+01 2.0384e+00 6.1243 1.340e-09 ***
idGeorgia 5.4293e+00 1.9390e+00 2.8000 0.0052149 **
idHawaii -7.2400e-02 1.9087e+00 -0.0379 0.9697507
idIdaho 4.5472e-01 1.9088e+00 0.2382 0.8117612
idIllinois 1.2081e+01 2.0400e+00 5.9222 4.459e-09 ***
idIndiana 2.8605e+00 1.9155e+00 1.4933 0.1356901
idIowa 3.8763e-01 1.9088e+00 0.2031 0.8391172
idKansas -6.5888e-02 1.9087e+00 -0.0345 0.9724704
idKentucky 1.3894e-01 1.9087e+00 0.0728 0.9419858
idLouisiana 8.2406e-02 1.9087e+00 0.0432 0.9655718
idMaine 2.3023e-01 1.9087e+00 0.1206 0.9040160
idMaryland 4.5359e+00 1.9260e+00 2.3551 0.0187248 *
idMassachusetts 2.3736e+01 2.9225e+00 8.1217 1.445e-15 ***
idMichigan 1.6578e+01 2.1424e+00 7.7382 2.609e-14 ***
idMinnesota 9.6831e+00 1.9928e+00 4.8589 1.383e-06 ***
idMississippi -8.7533e-01 1.9096e+00 -0.4584 0.6467756
idMissouri 1.8018e+00 1.9112e+00 0.9427 0.3460678
idMontana -6.9231e-01 1.9092e+00 -0.3626 0.7169679
idNebraska -3.5754e-01 1.9089e+00 -0.1873 0.8514641
idNevada 1.7009e+00 1.9113e+00 0.8899 0.3737460
idNewHampshire 2.1374e+00 1.9140e+00 1.1167 0.2643905
idNewJersey 1.1277e+01 2.2997e+00 4.9039 1.107e-06 ***
idNewMexico 2.8509e+00 1.9161e+00 1.4879 0.1371264
idNewYork 3.7792e+01 2.9758e+00 12.6998 < 2.2e-16 ***
idNorthCarolina 1.0892e+01 2.0118e+00 5.4139 7.840e-08 ***
idNorthDakota -8.3932e-01 1.9095e+00 -0.4396 0.6603635
idOhio 1.5540e+01 2.1296e+00 7.2972 6.270e-13 ***
idOklahoma 1.1355e+00 1.9096e+00 0.5947 0.5522178
idOregon 5.5827e+00 1.9371e+00 2.8820 0.0040423 **
idPennsylvania 1.7784e+01 2.1787e+00 8.1627 1.053e-15 ***
idRhodeIsland 7.6206e-01 1.9093e+00 0.3991 0.6898868
idSouthCarolina 8.4464e+00 1.9694e+00 4.2888 1.983e-05 ***
idSouthDakota -6.3152e-03 1.9087e+00 -0.0033 0.9973608
idTennessee 2.4006e+00 1.9133e+00 1.2547 0.2098955
idTexas 2.0274e+01 2.2528e+00 8.9994 < 2.2e-16 ***
idUtah 2.0924e+00 1.9125e+00 1.0941 0.2742081
idVermont -1.0600e-02 1.9087e+00 -0.0056 0.9955702
idVirginia 7.3917e+00 1.9558e+00 3.7795 0.0001671 ***
idWashington 9.8286e+00 1.9914e+00 4.9355 9.465e-07 ***
idWestVirginia -7.9018e-01 1.9093e+00 -0.4139 0.6790749
idWisconsin 7.5192e+00 1.9555e+00 3.8452 0.0001286 ***
idWyoming -6.1487e-01 1.9091e+00 -0.3221 0.7474648
time2001 -2.7946e+01 9.2683e+00 -3.0152 0.0026372 **
time2002 -2.6270e+01 8.5946e+00 -3.0566 0.0023025 **
time2003 -2.6637e+01 7.4529e+00 -3.5740 0.0003695 ***
time2004 -2.4761e+01 5.3133e+00 -4.6601 3.618e-06 ***
time2005 -2.1422e+01 4.0826e+00 -5.2471 1.912e-07 ***
time2006 -1.5141e+01 3.2909e+00 -4.6008 4.787e-06 ***
time2007 -1.1473e+01 2.8582e+00 -4.0142 6.442e-05 ***
time2008 -9.1658e+00 3.5243e+00 -2.6007 0.0094492 **
time2009 -3.0721e+00 4.1558e+00 -0.7392 0.4599556
time2010 -2.9613e+00 3.7317e+00 -0.7935 0.4276615
time2011 -2.7039e+00 2.7236e+00 -0.9928 0.3210748
time2012 -1.0027e+00 2.4934e+00 -0.4021 0.6876700
time2013 -3.0180e+00 3.3357e+00 -0.9048 0.3658235
time2014 -7.0253e+00 4.0634e+00 -1.7289 0.0841571 .
time2015 -4.9288e-01 1.9535e+00 -0.2523 0.8008559
time2016 -1.7802e+00 1.7869e+00 -0.9962 0.3193884
fesisCalifornia.2004 3.0065e+01 5.5898e+00 5.3786 9.491e-08 ***
fesisCalifornia.2006 6.9198e+01 6.4680e+00 10.6985 < 2.2e-16 ***
fesisCalifornia.2008 2.3559e+01 6.5832e+00 3.5786 0.0003631 ***
fesisCalifornia.2010 -4.4848e+01 5.3164e+00 -8.4358 < 2.2e-16 ***
fesisCalifornia.2014 -5.4252e+01 6.8544e+00 -7.9149 6.981e-15 ***
fesisCalifornia.2015 3.0842e+01 7.6051e+00 4.0555 5.420e-05 ***
fesisCalifornia.2017 -2.4690e+01 5.5844e+00 -4.4211 1.097e-05 ***
fesisCalifornia.2020 -1.2242e+02 7.0911e+00 -17.2639 < 2.2e-16 ***
fesisMassachusetts.2008 4.6272e+01 6.5263e+00 7.0900 2.643e-12 ***
fesisMassachusetts.2009 -4.6692e+01 6.3481e+00 -7.3553 4.163e-13 ***
fesisNewJersey.2013 2.3459e+01 6.3454e+00 3.6971 0.0002308 ***
fesisNewJersey.2014 -2.8222e+01 6.5173e+00 -4.3304 1.649e-05 ***
fesisNewYork.2012 -9.9423e+00 2.8338e+00 -3.5085 0.0004720 ***
fesisNewYork.2020 -3.3076e+01 6.4847e+00 -5.1007 4.098e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 16.569 1 4.691e-05 ***
Ljung-Box ARCH(1) 15.299 1 9.178e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.03580
R-squared 0.97386
Log-lik.(n=1020) -3238.48005 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:15:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.5417e-01 2.7095e-02 20.4529 < 2.2e-16 ***
lgdp 4.9824e+02 6.6384e+01 7.5055 1.595e-13 ***
lpop -3.6244e+02 4.1090e+01 -8.8208 < 2.2e-16 ***
lgdp_sq -1.9727e+01 3.9465e+00 -4.9986 7.063e-07 ***
avg_temp -9.6790e-01 1.6144e+00 -0.5995 0.5489733
idArizona 7.7310e+00 2.0485e+00 3.7739 0.0001723 ***
idArkansas -3.8697e-01 1.9914e+00 -0.1943 0.8459704
idCalifornia 4.4219e+01 4.5397e+00 9.7407 < 2.2e-16 ***
idColorado 1.2056e+01 2.1209e+00 5.6843 1.826e-08 ***
idConnecticut 1.5134e+01 2.2113e+00 6.8438 1.510e-11 ***
idDelaware 4.6612e+00 2.0138e+00 2.3146 0.0208784 *
idDistrictofColumbia 2.5002e-01 1.9912e+00 0.1256 0.9001099
idFlorida 1.2758e+01 2.1344e+00 5.9775 3.379e-09 ***
idGeorgia 3.6660e+00 2.4700e+00 1.4842 0.1381418
idHawaii -7.6502e-02 1.9912e+00 -0.0384 0.9693620
idIdaho 4.6326e-01 1.9913e+00 0.2326 0.8160982
idIllinois 1.2358e+01 2.1362e+00 5.7850 1.031e-08 ***
idIndiana 2.9226e+00 1.9987e+00 1.4622 0.1440666
idIowa 3.9438e-01 1.9913e+00 0.1981 0.8430490
idKansas -6.9753e-02 1.9912e+00 -0.0350 0.9720637
idKentucky 1.4165e-01 1.9912e+00 0.0711 0.9433028
idLouisiana 8.3588e-02 1.9912e+00 0.0420 0.9665254
idMaine 2.3207e-01 1.9912e+00 0.1165 0.9072467
idMaryland 4.6349e+00 2.0103e+00 2.3055 0.0213863 *
idMassachusetts 2.4144e+01 3.0730e+00 7.8570 1.233e-14 ***
idMichigan 1.6952e+01 2.2489e+00 7.5378 1.266e-13 ***
idMinnesota 9.9030e+00 2.0841e+00 4.7516 2.383e-06 ***
idMissouri 1.8396e+00 1.9940e+00 0.9226 0.3565066
idNebraska -3.6797e-01 1.9914e+00 -0.1848 0.8534472
idNevada 1.7395e+00 1.9941e+00 0.8723 0.3832890
idNewHampshire 2.1921e+00 1.9970e+00 1.0977 0.2726642
idNewJersey 1.1028e+01 2.1061e+00 5.2364 2.083e-07 ***
idNewMexico 2.9157e+00 1.9994e+00 1.4583 0.1451433
idNewYork 3.4279e+01 2.8919e+00 11.8535 < 2.2e-16 ***
idNorthCarolina 1.1136e+01 2.1050e+00 5.2900 1.571e-07 ***
idOhio 1.6029e+01 2.5074e+00 6.3928 2.731e-10 ***
idOklahoma 1.1580e+00 1.9922e+00 0.5813 0.5612008
idOregon 5.7096e+00 2.0226e+00 2.8229 0.0048743 **
idPennsylvania 1.8188e+01 2.2888e+00 7.9463 6.340e-15 ***
idRhodeIsland 7.8046e-01 1.9918e+00 0.3918 0.6952861
idSouthCarolina 8.6327e+00 2.0583e+00 4.1941 3.038e-05 ***
idSouthDakota -8.3967e-03 1.9912e+00 -0.0042 0.9966364
idTennessee 2.4513e+00 1.9962e+00 1.2280 0.2198071
idTexas 2.0733e+01 2.3701e+00 8.7477 < 2.2e-16 ***
idUtah 2.1390e+00 1.9954e+00 1.0720 0.2840530
idVermont -1.1667e-02 1.9912e+00 -0.0059 0.9953263
idVirginia 7.5554e+00 2.0432e+00 3.6978 0.0002319 ***
idWashington 1.0047e+01 2.0826e+00 4.8241 1.677e-06 ***
idWisconsin 7.6823e+00 2.0429e+00 3.7605 0.0001816 ***
time2001 -3.1507e+01 1.0295e+01 -3.0606 0.0022809 **
time2002 -2.9691e+01 9.5462e+00 -3.1103 0.0019338 **
time2003 -3.0002e+01 8.2783e+00 -3.6242 0.0003077 ***
time2004 -2.7739e+01 5.9029e+00 -4.6993 3.062e-06 ***
time2005 -2.3929e+01 4.5361e+00 -5.2752 1.699e-07 ***
time2006 -1.7056e+01 3.6564e+00 -4.6647 3.607e-06 ***
time2007 -1.2680e+01 3.1754e+00 -3.9933 7.102e-05 ***
time2008 -1.0033e+01 3.9149e+00 -2.5628 0.0105605 *
time2009 -3.2081e+00 4.6161e+00 -0.6950 0.4872577
time2010 -2.9946e+00 4.1459e+00 -0.7223 0.4703160
time2011 -3.4028e+00 3.0305e+00 -1.1229 0.2618271
time2012 -1.0696e+00 2.7710e+00 -0.3860 0.6996001
time2013 -3.2495e+00 3.7061e+00 -0.8768 0.3808430
time2014 -7.8062e+00 4.5136e+00 -1.7295 0.0840968 .
time2015 -6.0424e-01 2.1699e+00 -0.2785 0.7807298
time2016 -2.0123e+00 1.9851e+00 -1.0137 0.3110296
fesisCalifornia.2004 3.0008e+01 5.8399e+00 5.1385 3.464e-07 ***
fesisCalifornia.2006 6.9788e+01 6.7742e+00 10.3020 < 2.2e-16 ***
fesisCalifornia.2008 2.4208e+01 6.8986e+00 3.5091 0.0004741 ***
fesisCalifornia.2010 -4.4192e+01 5.5544e+00 -7.9562 5.883e-15 ***
fesisCalifornia.2014 -5.3832e+01 7.1615e+00 -7.5169 1.471e-13 ***
fesisCalifornia.2015 2.9945e+01 7.9490e+00 3.7671 0.0001770 ***
fesisCalifornia.2017 -2.4829e+01 5.8344e+00 -4.2557 2.325e-05 ***
fesisCalifornia.2020 -1.2165e+02 7.4102e+00 -16.4166 < 2.2e-16 ***
fesisGeorgia.2011 2.7637e+01 6.6824e+00 4.1358 3.902e-05 ***
fesisGeorgia.2012 -2.6498e+01 6.7205e+00 -3.9429 8.737e-05 ***
fesisMassachusetts.2008 4.5966e+01 6.8170e+00 6.7429 2.929e-11 ***
fesisMassachusetts.2009 -4.6064e+01 6.6316e+00 -6.9461 7.647e-12 ***
fesisNewYork.2020 -3.7677e+01 6.5538e+00 -5.7488 1.267e-08 ***
fesisOhio.2013 2.3780e+01 6.6310e+00 3.5862 0.0003554 ***
fesisOhio.2014 -2.7540e+01 6.8144e+00 -4.0414 5.814e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 11.320 1 0.0007668 ***
Ljung-Box ARCH(1) 11.187 1 0.0008237 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.29661
R-squared 0.97407
Log-lik.(n=900) -2893.05471 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Tue Mar 28 20:16:02 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.1578e-01 3.1138e-02 16.5642 < 2.2e-16 ***
lgdp -1.2699e+03 4.6789e+02 -2.7140 0.0068231 **
lpop 1.1927e+03 3.6638e+02 3.2552 0.0011916 **
lgdp_sq 3.2593e+01 1.5709e+01 2.0748 0.0383925 *
avg_temp 4.4179e+00 2.7330e+00 1.6165 0.1064769
idCalifornia 3.9651e+01 4.7978e+00 8.2644 7.839e-16 ***
idColorado 4.6776e+00 2.1972e+00 2.1289 0.0336395 *
idConnecticut 8.0833e+00 2.2474e+00 3.5968 0.0003465 ***
idDelaware -3.3253e+00 2.1883e+00 -1.5195 0.1291118
idDistrictofColumbia -8.1479e+00 2.2447e+00 -3.6299 0.0003057 ***
idFlorida 5.4347e+00 2.2034e+00 2.4665 0.0138996 *
idGeorgia -2.3326e+00 2.1825e+00 -1.0688 0.2855556
idIdaho -7.9159e+00 2.2410e+00 -3.5322 0.0004411 ***
idIllinois 5.0408e+00 2.2042e+00 2.2868 0.0225238 *
idIndiana -5.2443e+00 2.2070e+00 -2.3762 0.0177800 *
idIowa -7.9919e+00 2.2424e+00 -3.5640 0.0003919 ***
idKentucky -8.2606e+00 2.2455e+00 -3.6787 0.0002537 ***
idMaryland -3.3857e+00 2.1911e+00 -1.5452 0.1227897
idMassachusetts 1.7832e+01 3.2021e+00 5.5688 3.750e-08 ***
idMichigan 1.0020e+01 2.2729e+00 4.4084 1.217e-05 ***
idMinnesota 2.3620e+00 2.1840e+00 1.0815 0.2798537
idMissouri -6.4235e+00 2.2208e+00 -2.8924 0.0039510 **
idNevada -6.5205e+00 2.2204e+00 -2.9367 0.0034343 **
idNewHampshire -6.0040e+00 2.2109e+00 -2.7156 0.0067906 **
idNewJersey 3.5878e+00 2.1912e+00 1.6374 0.1020361
idNewMexico -5.2403e+00 2.2056e+00 -2.3759 0.0177938 *
idNewYork 3.0196e+01 2.9357e+00 10.2859 < 2.2e-16 ***
idNorthCarolina 3.6901e+00 2.1908e+00 1.6844 0.0925880 .
idOhio 8.9270e+00 2.2631e+00 3.9446 8.857e-05 ***
idOklahoma -7.1658e+00 2.2309e+00 -3.2120 0.0013829 **
idOregon -2.2001e+00 2.1833e+00 -1.0077 0.3139823
idPennsylvania 1.1374e+01 2.3020e+00 4.9407 9.902e-07 ***
idRhodeIsland -7.5596e+00 2.2338e+00 -3.3841 0.0007567 ***
idSouthCarolina 9.5836e-01 2.1790e+00 0.4398 0.6602135
idTennessee -5.7605e+00 2.2131e+00 -2.6029 0.0094549 **
idTexas 1.4141e+01 2.3664e+00 5.9758 3.765e-09 ***
idUtah -6.0892e+00 2.2155e+00 -2.7484 0.0061536 **
idVirginia -2.0852e-01 2.1787e+00 -0.0957 0.9237814
idWashington 2.4981e+00 2.1835e+00 1.1441 0.2530173
idWisconsin -8.3572e-02 2.1787e+00 -0.0384 0.9694134
time2001 1.8807e+02 8.4053e+01 2.2376 0.0255858 *
time2002 1.7823e+02 7.8480e+01 2.2710 0.0234691 *
time2003 1.7667e+02 7.3698e+01 2.3972 0.0167998 *
time2004 1.7413e+02 7.1806e+01 2.4250 0.0155771 *
time2005 1.6648e+02 6.3545e+01 2.6199 0.0090000 **
time2006 1.5107e+02 5.5195e+01 2.7370 0.0063688 **
time2007 1.3713e+02 4.7966e+01 2.8590 0.0043859 **
time2008 1.1709e+02 4.3424e+01 2.6964 0.0071904 **
time2009 6.7129e+01 3.2024e+01 2.0962 0.0364469 *
time2010 6.2282e+01 3.1084e+01 2.0037 0.0455180 *
time2011 5.8348e+01 2.9268e+01 1.9936 0.0466127 *
time2012 4.3519e+01 2.1286e+01 2.0445 0.0413080 *
time2013 4.0124e+01 2.2070e+01 1.8180 0.0695153 .
time2014 1.3215e+01 1.2909e+01 1.0237 0.3063614
time2015 1.1139e+01 1.0132e+01 1.0994 0.2719978
time2016 -1.8426e-02 5.4527e+00 -0.0034 0.9973048
fesisCalifornia.2004 3.0502e+01 6.4090e+00 4.7592 2.394e-06 ***
fesisCalifornia.2006 7.2330e+01 7.4654e+00 9.6887 < 2.2e-16 ***
fesisCalifornia.2008 2.7533e+01 7.6110e+00 3.6175 0.0003204 ***
fesisCalifornia.2010 -4.3482e+01 6.0951e+00 -7.1340 2.599e-12 ***
fesisCalifornia.2014 -5.3064e+01 7.8616e+00 -6.7498 3.272e-11 ***
fesisCalifornia.2015 2.7384e+01 8.7290e+00 3.1372 0.0017825 **
fesisCalifornia.2017 -2.6053e+01 6.4033e+00 -4.0687 5.307e-05 ***
fesisCalifornia.2020 -1.2006e+02 8.1326e+00 -14.7632 < 2.2e-16 ***
fesisMassachusetts.2008 4.5540e+01 7.4792e+00 6.0889 1.940e-09 ***
fesisMassachusetts.2009 -4.5225e+01 7.2763e+00 -6.2154 9.128e-10 ***
fesisNewYork.2018 -2.2095e+01 4.3927e+00 -5.0299 6.350e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 12.771 1 0.0003521 ***
Ljung-Box ARCH(1) 5.358 1 0.0206269 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.88905
R-squared 0.97339
Log-lik.(n=720) -2377.68714 0.05
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:13:15 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.7022e-01 2.5263e-02 22.5713 < 2.2e-16 ***
lgdp 4.0350e+02 5.2270e+01 7.7195 3.076e-14 ***
lpop -3.1508e+02 3.2057e+01 -9.8290 < 2.2e-16 ***
lgdp_sq -1.4613e+01 3.1214e+00 -4.6818 3.278e-06 ***
avg_temp -1.0770e+00 1.2662e+00 -0.8506 0.3952258
idAlaska -1.1821e+00 1.6564e+00 -0.7137 0.4756165
idArizona 7.4458e+00 1.7145e+00 4.3428 1.565e-05 ***
idArkansas -3.6955e-01 1.6549e+00 -0.2233 0.8233530
idCalifornia 5.5273e+01 5.6686e+00 9.7507 < 2.2e-16 ***
idColorado 1.1623e+01 1.7894e+00 6.4956 1.361e-10 ***
idConnecticut 2.1533e+01 2.4233e+00 8.8857 < 2.2e-16 ***
idDelaware 4.4829e+00 1.6784e+00 2.6710 0.0076981 **
idDistrictofColumbia 2.4372e-01 1.6547e+00 0.1473 0.8829415
idFlorida 1.2303e+01 1.8033e+00 6.8225 1.633e-11 ***
idGeorgia 5.3430e+00 1.6897e+00 3.1620 0.0016187 **
idHawaii -6.9698e-02 1.6548e+00 -0.0421 0.9664125
idIdaho 4.4910e-01 1.6549e+00 0.2714 0.7861602
idIllinois 1.1899e+01 1.8051e+00 6.5921 7.347e-11 ***
idIndiana 2.8196e+00 1.6626e+00 1.6959 0.0902511 .
idIowa 3.8318e-01 1.6548e+00 0.2316 0.8169337
idKansas -6.3341e-02 1.6547e+00 -0.0383 0.9694740
idKentucky 1.3715e-01 1.6547e+00 0.0829 0.9339602
idLouisiana 8.1628e-02 1.6547e+00 0.0493 0.9606667
idMaine 2.2902e-01 1.6547e+00 0.1384 0.8899509
idMaryland 4.4708e+00 1.6748e+00 2.6695 0.0077319 **
idMassachusetts 1.9477e+01 2.8285e+00 6.8860 1.071e-11 ***
idMichigan 2.0901e+01 2.1551e+00 9.6984 < 2.2e-16 ***
idMinnesota 9.5383e+00 1.7514e+00 5.4460 6.634e-08 ***
idMississippi -8.6071e-01 1.6557e+00 -0.5198 0.6033021
idMissouri 1.7768e+00 1.6577e+00 1.0719 0.2840488
idMontana -6.8140e-01 1.6553e+00 -0.4117 0.6806902
idNebraska -3.5067e-01 1.6549e+00 -0.2119 0.8322388
idNevada 1.6755e+00 1.6578e+00 1.0107 0.3124364
idNewHampshire 2.1014e+00 1.6609e+00 1.2653 0.2060994
idNewJersey 1.1422e+01 2.0183e+00 5.6593 2.037e-08 ***
idNewMexico 2.8083e+00 1.6633e+00 1.6883 0.0916902 .
idNewYork 4.1424e+01 4.2043e+00 9.8527 < 2.2e-16 ***
idNorthCarolina 1.0731e+01 1.7730e+00 6.0524 2.086e-09 ***
idNorthDakota -8.2523e-01 1.6557e+00 -0.4984 0.6183011
idOhio 1.5951e+01 2.1227e+00 7.5145 1.367e-13 ***
idOklahoma 1.1207e+00 1.6558e+00 0.6769 0.4986604
idOregon 5.4992e+00 1.6875e+00 3.2587 0.0011609 **
idPennsylvania 1.5302e+01 2.5431e+00 6.0170 2.575e-09 ***
idRhodeIsland 7.4994e-01 1.6554e+00 0.4530 0.6506400
idSouthCarolina 8.3238e+00 1.7247e+00 4.8263 1.631e-06 ***
idSouthDakota -4.9442e-03 1.6547e+00 -0.0030 0.9976167
idTennessee 2.3672e+00 1.6600e+00 1.4260 0.1542086
idTexas 1.4280e+01 2.4365e+00 5.8609 6.436e-09 ***
idUtah 2.0618e+00 1.6592e+00 1.2426 0.2143191
idVermont -9.8969e-03 1.6547e+00 -0.0060 0.9952292
idVirginia 7.2839e+00 1.7090e+00 4.2622 2.236e-05 ***
idWashington 8.8096e+00 2.2477e+00 3.9194 9.542e-05 ***
idWestVirginia -7.7784e-01 1.6554e+00 -0.4699 0.6385615
idWisconsin 7.4118e+00 1.7086e+00 4.3378 1.600e-05 ***
idWyoming -6.0520e-01 1.6552e+00 -0.3656 0.7147163
time2001 -2.1131e+01 8.1520e+00 -2.5922 0.0096907 **
time2002 -1.9674e+01 7.5576e+00 -2.6031 0.0093880 **
time2003 -2.0646e+01 6.5572e+00 -3.1486 0.0016942 **
time2004 -2.1426e+01 4.6715e+00 -4.5865 5.139e-06 ***
time2005 -1.8995e+01 3.5826e+00 -5.3021 1.438e-07 ***
time2006 -1.3951e+01 2.8915e+00 -4.8247 1.644e-06 ***
time2007 -1.0551e+01 2.5147e+00 -4.1960 2.984e-05 ***
time2008 -8.4911e+00 3.0918e+00 -2.7463 0.0061460 **
time2009 -1.6184e+00 3.6554e+00 -0.4427 0.6580623
time2010 -2.1208e+00 3.2794e+00 -0.6467 0.5179820
time2011 -1.8025e+00 2.3973e+00 -0.7519 0.4523153
time2012 2.6307e-01 2.1891e+00 0.1202 0.9043740
time2013 -2.5070e+00 2.9195e+00 -0.8587 0.3907252
time2014 -6.0677e+00 3.5505e+00 -1.7090 0.0877943 .
time2015 7.0738e-01 1.7136e+00 0.4128 0.6798471
time2016 -5.4477e-01 1.5645e+00 -0.3482 0.7277671
fesisCalifornia.2002 -1.8939e+01 6.4981e+00 -2.9145 0.0036496 **
fesisCalifornia.2004 3.6286e+01 5.2964e+00 6.8511 1.350e-11 ***
fesisCalifornia.2006 7.9791e+01 6.5565e+00 12.1698 < 2.2e-16 ***
fesisCalifornia.2007 -2.1153e+01 7.8211e+00 -2.7046 0.0069675 **
fesisCalifornia.2008 3.3831e+01 6.6174e+00 5.1125 3.877e-07 ***
fesisCalifornia.2010 -4.5558e+01 4.6213e+00 -9.8583 < 2.2e-16 ***
fesisCalifornia.2014 -5.4708e+01 5.9548e+00 -9.1872 < 2.2e-16 ***
fesisCalifornia.2015 3.1003e+01 6.6338e+00 4.6735 3.410e-06 ***
fesisCalifornia.2017 -1.8888e+01 5.2984e+00 -3.5648 0.0003831 ***
fesisCalifornia.2019 -1.6990e+01 6.4811e+00 -2.6214 0.0089026 **
fesisCalifornia.2020 -1.1098e+02 7.5010e+00 -14.7960 < 2.2e-16 ***
fesisConnecticut.2009 -1.1615e+01 2.4241e+00 -4.7916 1.932e-06 ***
fesisMassachusetts.2006 3.0542e+01 5.7930e+00 5.2721 1.686e-07 ***
fesisMassachusetts.2007 -3.2651e+01 7.5152e+00 -4.3447 1.552e-05 ***
fesisMassachusetts.2008 5.3007e+01 7.4866e+00 7.0803 2.879e-12 ***
fesisMassachusetts.2009 -4.5330e+01 5.5257e+00 -8.2034 7.946e-16 ***
fesisMassachusetts.2020 -2.7469e+01 5.5366e+00 -4.9614 8.355e-07 ***
fesisMichigan.2013 -2.3133e+01 5.5388e+00 -4.1765 3.246e-05 ***
fesisMichigan.2014 1.3384e+01 5.7009e+00 2.3477 0.0191037 *
fesisNewJersey.2013 2.3141e+01 5.5041e+00 4.2043 2.879e-05 ***
fesisNewJersey.2014 -2.8733e+01 5.6526e+00 -5.0831 4.509e-07 ***
fesisNewYork.2003 -2.3330e+01 6.4923e+00 -3.5934 0.0003439 ***
fesisNewYork.2004 2.8978e+01 7.4863e+00 3.8708 0.0001162 ***
fesisNewYork.2005 -2.2642e+01 6.4783e+00 -3.4950 0.0004970 ***
fesisNewYork.2007 1.9006e+01 4.4305e+00 4.2897 1.981e-05 ***
fesisNewYork.2012 -1.2538e+01 3.5482e+00 -3.5336 0.0004307 ***
fesisNewYork.2016 -2.0585e+01 5.9122e+00 -3.4819 0.0005217 ***
fesisNewYork.2017 3.2852e+01 7.4974e+00 4.3818 1.314e-05 ***
fesisNewYork.2018 -3.2325e+01 6.1069e+00 -5.2932 1.508e-07 ***
fesisOhio.2013 2.3494e+01 5.5055e+00 4.2673 2.186e-05 ***
fesisOhio.2014 -2.8707e+01 5.6575e+00 -5.0742 4.719e-07 ***
fesisPennsylvania.2007 3.1572e+01 5.7230e+00 5.5166 4.508e-08 ***
fesisPennsylvania.2008 -2.9245e+01 6.4989e+00 -4.4999 7.681e-06 ***
fesisPennsylvania.2010 2.3756e+01 6.4848e+00 3.6634 0.0002633 ***
fesisPennsylvania.2011 -2.7880e+01 5.5459e+00 -5.0271 5.999e-07 ***
fesisTexas.2008 2.4835e+01 3.7021e+00 6.7082 3.461e-11 ***
fesisTexas.2011 -2.0902e+01 3.4824e+00 -6.0021 2.813e-09 ***
fesisWashington.2009 1.9859e+01 5.6075e+00 3.5414 0.0004182 ***
fesisWashington.2010 -3.0649e+01 7.4917e+00 -4.0911 4.675e-05 ***
fesisWashington.2011 3.0100e+01 7.4907e+00 4.0184 6.346e-05 ***
fesisWashington.2012 -2.0517e+01 5.5734e+00 -3.6812 0.0002458 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 25.344 1 4.795e-07 ***
Ljung-Box ARCH(1) 12.042 1 0.00052 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.23267
R-squared 0.98092
Log-lik.(n=1020) -3079.33829 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:15:37 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.6546e-01 2.7587e-02 20.4975 < 2.2e-16 ***
lgdp 4.8869e+02 6.0705e+01 8.0501 2.978e-15 ***
lpop -3.8263e+02 3.7077e+01 -10.3197 < 2.2e-16 ***
lgdp_sq -1.7714e+01 3.6352e+00 -4.8729 1.325e-06 ***
avg_temp -1.1397e+00 1.4746e+00 -0.7729 0.4398310
idArizona 7.5304e+00 1.8742e+00 4.0179 6.425e-05 ***
idArkansas -3.7472e-01 1.8093e+00 -0.2071 0.8359768
idCalifornia 5.5602e+01 6.2127e+00 8.9497 < 2.2e-16 ***
idColorado 1.1751e+01 1.9559e+00 6.0082 2.845e-09 ***
idConnecticut 1.4733e+01 2.0571e+00 7.1621 1.800e-12 ***
idDelaware 4.5358e+00 1.8348e+00 2.4721 0.0136394 *
idDistrictofColumbia 2.4558e-01 1.8090e+00 0.1358 0.8920501
idFlorida 1.2438e+01 1.9711e+00 6.3102 4.605e-10 ***
idGeorgia 3.8219e+00 2.2487e+00 1.6996 0.0896027 .
idHawaii -7.1716e-02 1.8091e+00 -0.0396 0.9683878
idIdaho 4.5330e-01 1.8092e+00 0.2506 0.8022224
idIllinois 1.2035e+01 1.9731e+00 6.0998 1.651e-09 ***
idIndiana 2.8502e+00 1.8176e+00 1.5680 0.1172643
idIowa 3.8651e-01 1.8091e+00 0.2136 0.8308795
idKansas -6.5243e-02 1.8090e+00 -0.0361 0.9712396
idKentucky 1.3849e-01 1.8090e+00 0.0766 0.9389971
idLouisiana 8.2210e-02 1.8090e+00 0.0454 0.9637645
idMaine 2.2993e-01 1.8090e+00 0.1271 0.8988936
idMaryland 4.5194e+00 1.8309e+00 2.4685 0.0137768 *
idMassachusetts 1.9689e+01 3.1021e+00 6.3472 3.665e-10 ***
idMichigan 2.0604e+01 2.3784e+00 8.6630 < 2.2e-16 ***
idMinnesota 9.6464e+00 1.9145e+00 5.0386 5.797e-07 ***
idMissouri 1.7954e+00 1.8122e+00 0.9907 0.3221091
idNebraska -3.5580e-01 1.8093e+00 -0.1967 0.8441475
idNevada 1.6945e+00 1.8124e+00 0.9350 0.3500921
idNewHampshire 2.1283e+00 1.8157e+00 1.1722 0.2414758
idNewJersey 1.1305e+01 2.2065e+00 5.1235 3.761e-07 ***
idNewMexico 2.8401e+00 1.8184e+00 1.5619 0.1187119
idNewYork 3.6077e+01 2.9211e+00 12.3505 < 2.2e-16 ***
idNorthCarolina 1.0851e+01 1.9380e+00 5.5989 2.963e-08 ***
idOhio 1.5887e+01 2.3202e+00 6.8473 1.497e-11 ***
idOklahoma 1.1318e+00 1.8101e+00 0.6253 0.5319846
idOregon 5.5616e+00 1.8448e+00 3.0147 0.0026533 **
idPennsylvania 1.5458e+01 2.7870e+00 5.5464 3.961e-08 ***
idRhodeIsland 7.5899e-01 1.8098e+00 0.4194 0.6750471
idSouthCarolina 8.4154e+00 1.8853e+00 4.4637 9.209e-06 ***
idSouthDakota -5.9681e-03 1.8090e+00 -0.0033 0.9973685
idTennessee 2.3921e+00 1.8148e+00 1.3181 0.1878327
idTexas 1.4354e+01 2.6701e+00 5.3760 9.996e-08 ***
idUtah 2.0847e+00 1.8139e+00 1.1493 0.2507770
idVermont -1.0422e-02 1.8090e+00 -0.0058 0.9954048
idVirginia 7.3644e+00 1.8682e+00 3.9420 8.786e-05 ***
idWashington 9.5484e+00 2.2967e+00 4.1573 3.566e-05 ***
idWisconsin 7.4920e+00 1.8678e+00 4.0111 6.609e-05 ***
time2001 -2.4870e+01 9.5052e+00 -2.6165 0.0090507 **
time2002 -2.3368e+01 8.8112e+00 -2.6521 0.0081575 **
time2003 -2.4871e+01 7.6439e+00 -3.2537 0.0011870 **
time2004 -2.5135e+01 5.4423e+00 -4.6184 4.502e-06 ***
time2005 -2.2836e+01 4.1703e+00 -5.4758 5.831e-08 ***
time2006 -1.7121e+01 3.3657e+00 -5.0870 4.532e-07 ***
time2007 -1.2407e+01 2.9285e+00 -4.2365 2.534e-05 ***
time2008 -9.6900e+00 3.6032e+00 -2.6892 0.0073101 **
time2009 -1.3900e+00 4.2619e+00 -0.3261 0.7444017
time2010 -2.5273e+00 3.8243e+00 -0.6609 0.5088898
time2011 -2.6790e+00 2.8015e+00 -0.9563 0.3392305
time2012 2.6868e-01 2.5522e+00 0.1053 0.9161857
time2013 -3.1960e+00 3.4009e+00 -0.9397 0.3476328
time2014 -6.8207e+00 4.1369e+00 -1.6487 0.0995915 .
time2015 6.5021e-01 1.9972e+00 0.3256 0.7448485
time2016 -6.3529e-01 1.8238e+00 -0.3483 0.7276821
fesisCalifornia.2002 -1.8642e+01 7.1121e+00 -2.6212 0.0089279 **
fesisCalifornia.2004 3.5989e+01 5.7968e+00 6.2084 8.581e-10 ***
fesisCalifornia.2006 8.0229e+01 7.1749e+00 11.1818 < 2.2e-16 ***
fesisCalifornia.2007 -2.1468e+01 8.5582e+00 -2.5085 0.0123211 *
fesisCalifornia.2008 3.3849e+01 7.2412e+00 4.6746 3.455e-06 ***
fesisCalifornia.2010 -4.4612e+01 5.0565e+00 -8.8227 < 2.2e-16 ***
fesisCalifornia.2014 -5.4282e+01 6.5162e+00 -8.3302 3.477e-16 ***
fesisCalifornia.2015 3.0298e+01 7.2566e+00 4.1753 3.303e-05 ***
fesisCalifornia.2017 -1.9006e+01 5.7999e+00 -3.2769 0.0010947 **
fesisCalifornia.2019 -1.6919e+01 7.0948e+00 -2.3847 0.0173262 *
fesisCalifornia.2020 -1.0938e+02 8.2092e+00 -13.3241 < 2.2e-16 ***
fesisGeorgia.2011 2.7918e+01 6.0736e+00 4.5966 4.987e-06 ***
fesisGeorgia.2012 -2.7496e+01 6.1101e+00 -4.5001 7.796e-06 ***
fesisMassachusetts.2006 3.0635e+01 6.3410e+00 4.8312 1.626e-06 ***
fesisMassachusetts.2007 -3.3256e+01 8.2262e+00 -4.0427 5.793e-05 ***
fesisMassachusetts.2008 5.2945e+01 8.1969e+00 6.4592 1.823e-10 ***
fesisMassachusetts.2009 -4.6835e+01 6.0274e+00 -7.7704 2.394e-14 ***
fesisMichigan.2012 -9.0838e+00 2.6092e+00 -3.4814 0.0005257 ***
fesisNewJersey.2013 2.3595e+01 6.0249e+00 3.9163 9.757e-05 ***
fesisNewJersey.2014 -2.8573e+01 6.1873e+00 -4.6181 4.510e-06 ***
fesisNewYork.2016 -2.5281e+01 5.9773e+00 -4.2295 2.612e-05 ***
fesisNewYork.2017 3.2646e+01 8.2072e+00 3.9777 7.589e-05 ***
fesisNewYork.2018 -3.1622e+01 6.6855e+00 -4.7300 2.653e-06 ***
fesisOhio.2013 2.3925e+01 6.0271e+00 3.9695 7.850e-05 ***
fesisOhio.2014 -2.8506e+01 6.1942e+00 -4.6020 4.862e-06 ***
fesisPennsylvania.2007 3.0946e+01 6.2639e+00 4.9403 9.495e-07 ***
fesisPennsylvania.2008 -2.9380e+01 7.1138e+00 -4.1300 4.008e-05 ***
fesisPennsylvania.2010 2.4251e+01 7.0995e+00 3.4159 0.0006676 ***
fesisPennsylvania.2011 -2.7289e+01 6.0703e+00 -4.4955 7.964e-06 ***
fesisTexas.2008 2.4304e+01 4.0452e+00 6.0082 2.844e-09 ***
fesisTexas.2011 -1.9910e+01 3.8134e+00 -5.2209 2.270e-07 ***
fesisWashington.2011 1.8906e+01 6.0708e+00 3.1142 0.0019102 **
fesisWashington.2012 -2.0464e+01 6.1040e+00 -3.3526 0.0008382 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 16.666 1 4.457e-05 ***
Ljung-Box ARCH(1) 14.504 1 0.0001399 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.72060
R-squared 0.97906
Log-lik.(n=900) -2797.71151 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Tue Mar 28 20:15:59 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.1295e-01 3.0475e-02 16.8317 < 2.2e-16 ***
lgdp -1.3109e+03 4.4416e+02 -2.9514 0.0032783 **
lpop 1.2229e+03 3.4768e+02 3.5172 0.0004669 ***
lgdp_sq 3.4083e+01 1.4920e+01 2.2844 0.0226711 *
avg_temp 4.6314e+00 2.5931e+00 1.7860 0.0745664 .
idCalifornia 3.9614e+01 4.5667e+00 8.6745 < 2.2e-16 ***
idColorado 4.7036e+00 2.0815e+00 2.2597 0.0241732 *
idConnecticut 8.1335e+00 2.1322e+00 3.8146 0.0001495 ***
idDelaware -3.3441e+00 2.0725e+00 -1.6135 0.1071178
idDistrictofColumbia -8.1971e+00 2.1294e+00 -3.8494 0.0001302 ***
idFlorida 5.4647e+00 2.0878e+00 2.6175 0.0090656 **
idGeorgia -4.4302e+00 2.5453e+00 -1.7405 0.0822505 .
idIdaho -7.9637e+00 2.1258e+00 -3.7462 0.0001956 ***
idIllinois 5.0713e+00 2.0886e+00 2.4281 0.0154522 *
idIndiana -5.2764e+00 2.0914e+00 -2.5229 0.0118790 *
idIowa -8.0401e+00 2.1272e+00 -3.7798 0.0001716 ***
idKentucky -8.3101e+00 2.1303e+00 -3.9009 0.0001059 ***
idMaryland -3.4070e+00 2.0753e+00 -1.6417 0.1011487
idMassachusetts 1.7693e+01 3.0383e+00 5.8234 9.113e-09 ***
idMichigan 1.0079e+01 2.1579e+00 4.6706 3.659e-06 ***
idMinnesota 2.3761e+00 2.0681e+00 1.1489 0.2510166
idMissouri -6.4627e+00 2.1054e+00 -3.0696 0.0022337 **
idNevada -6.5595e+00 2.1049e+00 -3.1163 0.0019129 **
idNewHampshire -6.0383e+00 2.0954e+00 -2.8817 0.0040867 **
idNewJersey 3.7147e+00 2.4020e+00 1.5465 0.1224679
idNewMexico -5.2717e+00 2.0900e+00 -2.5223 0.0118980 *
idNewYork 3.1429e+01 2.9004e+00 10.8360 < 2.2e-16 ***
idNorthCarolina 3.7111e+00 2.0750e+00 1.7885 0.0741643 .
idOhio 8.8778e+00 2.4567e+00 3.6137 0.0003255 ***
idOklahoma -7.2095e+00 2.1156e+00 -3.4078 0.0006958 ***
idOregon -2.2133e+00 2.0674e+00 -1.0705 0.2847827
idPennsylvania 1.1441e+01 2.1873e+00 5.2307 2.287e-07 ***
idRhodeIsland -7.6045e+00 2.1185e+00 -3.5896 0.0003564 ***
idSouthCarolina 9.6254e-01 2.0631e+00 0.4666 0.6409725
idTennessee -5.7959e+00 2.0976e+00 -2.7631 0.0058887 **
idTexas 7.4973e+00 2.9212e+00 2.5665 0.0104977 *
idUtah -6.1259e+00 2.1000e+00 -2.9171 0.0036565 **
idVirginia -2.1094e-01 2.0627e+00 -0.1023 0.9185800
idWashington 2.5116e+00 2.0677e+00 1.2147 0.2249316
idWisconsin -8.6145e-02 2.0628e+00 -0.0418 0.9667015
time2001 1.9601e+02 7.9831e+01 2.4553 0.0143398 *
time2002 1.8563e+02 7.4537e+01 2.4904 0.0130095 *
time2003 1.8355e+02 6.9990e+01 2.6225 0.0089350 **
time2004 1.8074e+02 6.8188e+01 2.6506 0.0082316 **
time2005 1.7225e+02 6.0337e+01 2.8548 0.0044454 **
time2006 1.5604e+02 5.2406e+01 2.9775 0.0030153 **
time2007 1.4145e+02 4.5540e+01 3.1060 0.0019800 **
time2008 1.2033e+02 4.1231e+01 2.9184 0.0036412 **
time2009 6.9654e+01 3.0426e+01 2.2893 0.0223850 *
time2010 6.4704e+01 2.9531e+01 2.1910 0.0288077 *
time2011 6.0323e+01 2.7805e+01 2.1695 0.0304084 *
time2012 4.5497e+01 2.0228e+01 2.2492 0.0248343 *
time2013 4.0813e+01 2.0971e+01 1.9461 0.0520764 .
time2014 1.4648e+01 1.2275e+01 1.1933 0.2331889
time2015 1.2275e+01 9.6379e+00 1.2736 0.2032738
time2016 1.3197e+00 5.1961e+00 0.2540 0.7995958
fesisCalifornia.2004 3.0559e+01 6.0700e+00 5.0345 6.228e-07 ***
fesisCalifornia.2006 7.2569e+01 7.0981e+00 10.2237 < 2.2e-16 ***
fesisCalifornia.2008 2.8515e+01 7.2534e+00 3.9314 9.364e-05 ***
fesisCalifornia.2010 -4.3256e+01 5.7752e+00 -7.4899 2.284e-13 ***
fesisCalifornia.2014 -5.3974e+01 7.4468e+00 -7.2480 1.217e-12 ***
fesisCalifornia.2015 2.6885e+01 8.2760e+00 3.2485 0.0012205 **
fesisCalifornia.2017 -2.5723e+01 6.0658e+00 -4.2406 2.556e-05 ***
fesisCalifornia.2020 -1.2023e+02 7.7034e+00 -15.6075 < 2.2e-16 ***
fesisGeorgia.2011 2.6936e+01 6.9458e+00 3.8780 0.0001162 ***
fesisGeorgia.2012 -2.5294e+01 6.9869e+00 -3.6202 0.0003176 ***
fesisMassachusetts.2008 4.6286e+01 7.0839e+00 6.5340 1.303e-10 ***
fesisMassachusetts.2009 -4.5600e+01 6.8913e+00 -6.6171 7.724e-11 ***
fesisNewJersey.2013 2.3625e+01 6.8901e+00 3.4289 0.0006448 ***
fesisNewJersey.2014 -2.7302e+01 7.0768e+00 -3.8580 0.0001259 ***
fesisNewYork.2016 -2.4005e+01 6.8350e+00 -3.5120 0.0004759 ***
fesisNewYork.2017 3.0599e+01 9.3814e+00 3.2616 0.0011663 **
fesisNewYork.2018 -3.0010e+01 7.6437e+00 -3.9261 9.564e-05 ***
fesisOhio.2013 2.3691e+01 6.8935e+00 3.4368 0.0006267 ***
fesisOhio.2014 -2.6776e+01 7.0857e+00 -3.7789 0.0001722 ***
fesisTexas.2008 2.4277e+01 4.6093e+00 5.2671 1.893e-07 ***
fesisTexas.2011 -1.8104e+01 4.3599e+00 -4.1524 3.733e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 10.21494 1 0.001393 **
Ljung-Box ARCH(1) 0.82993 1 0.362294
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.52242
R-squared 0.97651
Log-lik.(n=720) -2333.31292